Time dependent wave packet calculations have been performed for the H-+ H2nonreactive scattering, summed of elastic and inelastic probabilities, on the recent reported potential energy surface of the systems. The total probabilities for total angular momentum J up to 35 have been calculated to get the converged integral cross sections over collision energy range of 0.20 - 1.42 eV. Integral cross-sections and rate constants have been calculated from the wave packet transition probabilities for the initial states (υ = 0, j = 0) by means of J-shifting method and uniform J-shifting method for J > 0.
{"title":"Time Dependent Wave Packet Study of the H-+ H2 Nonreactive Scattering","authors":"S. Akpinar, S. Surucu","doi":"10.4236/jqis.2011.12013","DOIUrl":"https://doi.org/10.4236/jqis.2011.12013","url":null,"abstract":"Time dependent wave packet calculations have been performed for the H-+ H2nonreactive scattering, summed of elastic and inelastic probabilities, on the recent reported potential energy surface of the systems. The total probabilities for total angular momentum J up to 35 have been calculated to get the converged integral cross sections over collision energy range of 0.20 - 1.42 eV. Integral cross-sections and rate constants have been calculated from the wave packet transition probabilities for the initial states (υ = 0, j = 0) by means of J-shifting method and uniform J-shifting method for J > 0.","PeriodicalId":415657,"journal":{"name":"J. Quantum Inf. Sci.","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127231604","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We have investigated third order nonlinear optical properties and spectral characteristics of methylene blue dye in both polymer and liquid mixtures. The spectral characteristics of the dye is studied by recording the absorption and fluorescence spectra of the dye doped in poly(methylmethacrylate) modified with additive n-butyl acetate(nBA) and the dye in MMA and nBA (liquid mixture). The spectral results of the dye doped polymer rod are compared with dye in liquid Mixture. The nonlinear measurements of the dye in liquid and polymer medium were performed using CW He-Ne laser of wavelength 632.8 nm by employing z-scan technique. The dye methylene blue showed a negative nonlinear refractive index.
{"title":"Third Order Optical Nonlinearities and Spectral Characteristics of Methylene Blue","authors":"V. Sukumaran, A. Ramalingam","doi":"10.4236/jqis.2011.12010","DOIUrl":"https://doi.org/10.4236/jqis.2011.12010","url":null,"abstract":"We have investigated third order nonlinear optical properties and spectral characteristics of methylene blue dye in both polymer and liquid mixtures. The spectral characteristics of the dye is studied by recording the absorption and fluorescence spectra of the dye doped in poly(methylmethacrylate) modified with additive n-butyl acetate(nBA) and the dye in MMA and nBA (liquid mixture). The spectral results of the dye doped polymer rod are compared with dye in liquid Mixture. The nonlinear measurements of the dye in liquid and polymer medium were performed using CW He-Ne laser of wavelength 632.8 nm by employing z-scan technique. The dye methylene blue showed a negative nonlinear refractive index.","PeriodicalId":415657,"journal":{"name":"J. Quantum Inf. Sci.","volume":"2008 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127311519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
He-Zhou Wang, He-Xiang He, Jie Feng, Xiao-Dong Chen, Wei Lin
When Newton became the President of the Royal Society, he proposed corpuscle concept (wave-particle duality) to destroy the fruitions of Hooke and Huygens, because Newton mistook Hooke and Huygens as his enemies. Thereafter, this erroneous concept governed the scientific world for more than one hundred years. This paper will reveal the mystery: why corpuscle concept could govern the scientific world for one hundred years after Newton’s death. In the beginning of last century, photon, a palingenesis of Newton’s corpuscle, was proposed by Einstein again, as a sudden whim, because Planck strongly opposed this wrong concept, since 1907, Einstein strongly doubted this concept. Finally, Einstein disappointedly said: “The quanta really are a hopeless mess.” This paper will reveal the mystery: why photon concept can govern the scientific world until now, and give the evidences for the actual nature of light.
{"title":"The Actual Nature of Light (Ⅰ) Reveal the Mystery about the Actual Nature of Light from Newton, Einstein to the Recent Mistakes","authors":"He-Zhou Wang, He-Xiang He, Jie Feng, Xiao-Dong Chen, Wei Lin","doi":"10.4236/jqis.2011.12008","DOIUrl":"https://doi.org/10.4236/jqis.2011.12008","url":null,"abstract":"When Newton became the President of the Royal Society, he proposed corpuscle concept (wave-particle duality) to destroy the fruitions of Hooke and Huygens, because Newton mistook Hooke and Huygens as his enemies. Thereafter, this erroneous concept governed the scientific world for more than one hundred years. This paper will reveal the mystery: why corpuscle concept could govern the scientific world for one hundred years after Newton’s death. In the beginning of last century, photon, a palingenesis of Newton’s corpuscle, was proposed by Einstein again, as a sudden whim, because Planck strongly opposed this wrong concept, since 1907, Einstein strongly doubted this concept. Finally, Einstein disappointedly said: “The quanta really are a hopeless mess.” This paper will reveal the mystery: why photon concept can govern the scientific world until now, and give the evidences for the actual nature of light.","PeriodicalId":415657,"journal":{"name":"J. Quantum Inf. Sci.","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126510590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Relying upon the basic tenets of scientific modeling, an ansatz for the evaluation of proton affinity of mole-cules are evolved in terms of a four component model. The components of the model chosen are global de-scriptors like ionization energies, global softness, electronegativity and electrophilicity index. These akin quantum mechanical descriptors of atoms and molecules are linked with the charge rearrangement and polarization that occur during the physico-chemical process of protonation of molecules. The suggested ansatz is invoked to compute the protonation energy of as many as 43 compounds of diverse physico-chemical nature viz, hydrocarbons, alcohols, carbonyls, carboxylic acids, esters, aliphatic amines and aromatic amines. A detailed comparative study of theoretically evaluated protonation energies of the above mentioned molecules vis-a-vis their corresponding experimental counterparts reveals that there is a close agreement between the theory and experiment. Thus the results strongly suggest that the proposed modeling and the ansatz for computing PA, the proton affinity, of molecules for studying the physico-chemical process of protonation may be valid proposition.
{"title":"Modeling of the Chemico-Physical Process of Protonation of Molecules Entailing Some Quantum Chemical Descriptors","authors":"S. K. Rajak, N. Islam, D. C. Ghosh","doi":"10.4236/jqis.2011.12012","DOIUrl":"https://doi.org/10.4236/jqis.2011.12012","url":null,"abstract":"Relying upon the basic tenets of scientific modeling, an ansatz for the evaluation of proton affinity of mole-cules are evolved in terms of a four component model. The components of the model chosen are global de-scriptors like ionization energies, global softness, electronegativity and electrophilicity index. These akin quantum mechanical descriptors of atoms and molecules are linked with the charge rearrangement and polarization that occur during the physico-chemical process of protonation of molecules. The suggested ansatz is invoked to compute the protonation energy of as many as 43 compounds of diverse physico-chemical nature viz, hydrocarbons, alcohols, carbonyls, carboxylic acids, esters, aliphatic amines and aromatic amines. A detailed comparative study of theoretically evaluated protonation energies of the above mentioned molecules vis-a-vis their corresponding experimental counterparts reveals that there is a close agreement between the theory and experiment. Thus the results strongly suggest that the proposed modeling and the ansatz for computing PA, the proton affinity, of molecules for studying the physico-chemical process of protonation may be valid proposition.","PeriodicalId":415657,"journal":{"name":"J. Quantum Inf. Sci.","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123674662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A new theorem on random walks suggest some possible revisions of the foundations of Quantum Mechanics. This is presented below in the simplified framework of the description of the evolution of a material point in space. Grossly speaking, it is shown that the probabilities generated by normalizing the square modulus of a sum of probability amplitudes, in the setup of Quantum Mechanics, becomes asymptotically close (under the appropriate limiting conditions) to the probabilities generated by the usual causal processes of Classical Mechanics. This limiting coincidence has a series of interesting potential applications. In particular it allows us to reintroduce the concept of causality within the core of Quantum Mechanics. Moreover, it suggests, among other consequences, that gravitational interaction may not even exist. Even though the interpretations of Quantum Mechanics which follow from this mathematical result may seem to bring some unexpected innovations in the context of theoretical physics, there is an obvious necessity to study its theoretical impact on Quantum Mechanics. The first steps toward this aim are taken in the present article.
{"title":"Revisions of the Foundations of Quantum Mechanics Suggested by Properties of Random Walk","authors":"R. Charreton","doi":"10.4236/jqis.2011.12009","DOIUrl":"https://doi.org/10.4236/jqis.2011.12009","url":null,"abstract":"A new theorem on random walks suggest some possible revisions of the foundations of Quantum Mechanics. This is presented below in the simplified framework of the description of the evolution of a material point in space. Grossly speaking, it is shown that the probabilities generated by normalizing the square modulus of a sum of probability amplitudes, in the setup of Quantum Mechanics, becomes asymptotically close (under the appropriate limiting conditions) to the probabilities generated by the usual causal processes of Classical Mechanics. This limiting coincidence has a series of interesting potential applications. In particular it allows us to reintroduce the concept of causality within the core of Quantum Mechanics. Moreover, it suggests, among other consequences, that gravitational interaction may not even exist. Even though the interpretations of Quantum Mechanics which follow from this mathematical result may seem to bring some unexpected innovations in the context of theoretical physics, there is an obvious necessity to study its theoretical impact on Quantum Mechanics. The first steps toward this aim are taken in the present article.","PeriodicalId":415657,"journal":{"name":"J. Quantum Inf. Sci.","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133320189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The Copenhagen interpretation is the most authorized interpretation of quantum mechanics, but there are a number of ideas that are associated with the Copenhagen interpretation. It is ceratin that this fact is not necessarily desirable. Thus, we propose a new interpretation of measurement theory, which is the linguistic aspect (or, the mathematical generalization) of quantum mechanics. Although this interpretation is superficially similar to a part of so-called Copenhagen interpretation, we show that it has a merit to be applicable to both quantum and classical systems. For example, we say that Bell’s inequality is broken even in classical systems.
{"title":"A New Interpretation of Quantum Mechanics","authors":"S. Ishikawa","doi":"10.4236/jqis.2011.12005","DOIUrl":"https://doi.org/10.4236/jqis.2011.12005","url":null,"abstract":"The Copenhagen interpretation is the most authorized interpretation of quantum mechanics, but there are a number of ideas that are associated with the Copenhagen interpretation. It is ceratin that this fact is not necessarily desirable. Thus, we propose a new interpretation of measurement theory, which is the linguistic aspect (or, the mathematical generalization) of quantum mechanics. Although this interpretation is superficially similar to a part of so-called Copenhagen interpretation, we show that it has a merit to be applicable to both quantum and classical systems. For example, we say that Bell’s inequality is broken even in classical systems.","PeriodicalId":415657,"journal":{"name":"J. Quantum Inf. Sci.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130497958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
When the Grover’s algorithm is applied to search an unordered database, the successful probability usually decreases with the increase of marked items. In order to solve this problem, an adaptive phase matching is proposed. With application of the new phase matching, when the fraction of marked items is greater , the successful probability is equal to 1 with at most two Grover iterations. The validity of the new phase matching is verified by a search example.
{"title":"Adaptive Phase Matching in Grover's Algorithm","authors":"Panchi Li, K. Song","doi":"10.4236/jqis.2011.12006","DOIUrl":"https://doi.org/10.4236/jqis.2011.12006","url":null,"abstract":"When the Grover’s algorithm is applied to search an unordered database, the successful probability usually decreases with the increase of marked items. In order to solve this problem, an adaptive phase matching is proposed. With application of the new phase matching, when the fraction of marked items is greater , the successful probability is equal to 1 with at most two Grover iterations. The validity of the new phase matching is verified by a search example.","PeriodicalId":415657,"journal":{"name":"J. Quantum Inf. Sci.","volume":"116 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123066596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Building upon the pioneering work of J. Bell [1] and an incredible result due to L. Hardy [2] it was shown that the probability of quantum entanglement of two particles is a maximum of 9.0169945 percent [2]. This happens to be exactly the golden mean to the power of five (?5) [3-7]. Although it has gone largely unnoticed for a long time, this result was essentially established independently in a much wider context by the present author almost two decades ago [3-6]. The present work gives two fundamentally different derivations of Hardy’s beautiful result leading to precisely the same general conclusion, namely that by virtue of the zero measure of the underlying Cantorian-fractal spacetime geometry the notion of spatial separability in quantum physics is devoid of any meaning [7]. The first derivation is purely logical and uses a probability theory which combines the discrete with the continuum. The second derivation is purely geometrical and topological using the fundamental equations of a theory developed by the author and his collaborators frequently referred to as E-infinity or Cantorian spacetime theory [3-7].
{"title":"Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry","authors":"M. Naschie","doi":"10.4236/jqis.2011.12007","DOIUrl":"https://doi.org/10.4236/jqis.2011.12007","url":null,"abstract":"Building upon the pioneering work of J. Bell [1] and an incredible result due to L. Hardy [2] it was shown that the probability of quantum entanglement of two particles is a maximum of 9.0169945 percent [2]. This happens to be exactly the golden mean to the power of five (?5) [3-7]. Although it has gone largely unnoticed for a long time, this result was essentially established independently in a much wider context by the present author almost two decades ago [3-6]. The present work gives two fundamentally different derivations of Hardy’s beautiful result leading to precisely the same general conclusion, namely that by virtue of the zero measure of the underlying Cantorian-fractal spacetime geometry the notion of spatial separability in quantum physics is devoid of any meaning [7]. The first derivation is purely logical and uses a probability theory which combines the discrete with the continuum. The second derivation is purely geometrical and topological using the fundamental equations of a theory developed by the author and his collaborators frequently referred to as E-infinity or Cantorian spacetime theory [3-7].","PeriodicalId":415657,"journal":{"name":"J. Quantum Inf. Sci.","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126559684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any arbitrary orbital quantum number l and dimensional space D. The relativistic/non-relativistic energy spectrum formula and the corresponding un-normalized radial wave functions, expressed in terms of the Jacobi polynomials and or the generalized hypergeometric functions have been obtained. A short-cut of the Nikiforov-Uvarov (NU) method is used in the solution. A unified treatment of the Eckart, Rosen-Morse, Hulthen and Woods-Saxon potential models can be easily derived from our general solution. The present calculations are found to be identical with those ones appearing in the literature. Further, based on the PT-symmetry, the bound state solutions of the trigonometric Rosen-Morse potential can be easily obtained.
{"title":"Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions","authors":"S. Ikhdair","doi":"10.4236/jqis.2011.12011","DOIUrl":"https://doi.org/10.4236/jqis.2011.12011","url":null,"abstract":"The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any arbitrary orbital quantum number l and dimensional space D. The relativistic/non-relativistic energy spectrum formula and the corresponding un-normalized radial wave functions, expressed in terms of the Jacobi polynomials and or the generalized hypergeometric functions have been obtained. A short-cut of the Nikiforov-Uvarov (NU) method is used in the solution. A unified treatment of the Eckart, Rosen-Morse, Hulthen and Woods-Saxon potential models can be easily derived from our general solution. The present calculations are found to be identical with those ones appearing in the literature. Further, based on the PT-symmetry, the bound state solutions of the trigonometric Rosen-Morse potential can be easily obtained.","PeriodicalId":415657,"journal":{"name":"J. Quantum Inf. Sci.","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125095752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
One dimensional flow with heat transfer of a pseudoplastic fluid between two infinite horizontal parallel plates is investigated. The thermophysical properties of the fluid are assumed to be constant and numerical solution using the finite element method, along with the corresponding exact solution for the fluid velocity and the fluid temperature is obtained. The effect of variation of the governing parameters is studied using figures and tables. It is found that the numerical solution agrees well with the corresponding exact solution and that the fluid velocity, together with the fluid temperature, increases with increasing values of the governing parameters.
{"title":"A Numerical study of the flow with heat Transfer of a Pseudoplastic fluid Between Parallel Plates","authors":"S. Iqbal, A. Zeb, A. Siddiqui, T. Haroon","doi":"10.4236/jqis.2011.11003","DOIUrl":"https://doi.org/10.4236/jqis.2011.11003","url":null,"abstract":"One dimensional flow with heat transfer of a pseudoplastic fluid between two infinite horizontal parallel plates is investigated. The thermophysical properties of the fluid are assumed to be constant and numerical solution using the finite element method, along with the corresponding exact solution for the fluid velocity and the fluid temperature is obtained. The effect of variation of the governing parameters is studied using figures and tables. It is found that the numerical solution agrees well with the corresponding exact solution and that the fluid velocity, together with the fluid temperature, increases with increasing values of the governing parameters.","PeriodicalId":415657,"journal":{"name":"J. Quantum Inf. Sci.","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132780090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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