Pub Date : 1972-08-01DOI: 10.1088/0305-4470/5/8/012
R. Collins, A. Wragg
Results are presented of numerical calculations of the spatial average density distribution inside a simple cubical box containing a random flight polymer. Various lengths of polymer are considered. Included is a correlation to an isotherm calculation in an earlier paper (see abst. A1029 of 1970).
{"title":"Density distribution of a confined polymer","authors":"R. Collins, A. Wragg","doi":"10.1088/0305-4470/5/8/012","DOIUrl":"https://doi.org/10.1088/0305-4470/5/8/012","url":null,"abstract":"Results are presented of numerical calculations of the spatial average density distribution inside a simple cubical box containing a random flight polymer. Various lengths of polymer are considered. Included is a correlation to an isotherm calculation in an earlier paper (see abst. A1029 of 1970).","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"12 1","pages":"1196-1205"},"PeriodicalIF":0.0,"publicationDate":"1972-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89729631","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}
Pub Date : 1972-08-01DOI: 10.1088/0305-4470/5/8/016
A. K. De, P. Ghosh, S. Mitra, P. Bhattacharya, A. Das
The sea-level absolute vertical integral cosmic ray muon intensities for three momenta near 1 GeV/c at 12 degrees N were measured with a range spectrometer. The results obtained from this measurement are used to derive the intensities at a latitude of 50 degrees N by applying the latitude correction suggested by Olbert (1954). The integral muon intensities are found to be on the average 3.5% lower and 21.6% higher than the values obtained by Allkofer et al. and Rossi respectively. The differential intensities derived from the integral ones are 20% higher than those calculated from Olbert at the same latitude. The results of the other recent measurements on the differential muon intensities in the low energy region in relation to a form spectrum are also discussed.
{"title":"The muon flux of cosmic rays at sea level","authors":"A. K. De, P. Ghosh, S. Mitra, P. Bhattacharya, A. Das","doi":"10.1088/0305-4470/5/8/016","DOIUrl":"https://doi.org/10.1088/0305-4470/5/8/016","url":null,"abstract":"The sea-level absolute vertical integral cosmic ray muon intensities for three momenta near 1 GeV/c at 12 degrees N were measured with a range spectrometer. The results obtained from this measurement are used to derive the intensities at a latitude of 50 degrees N by applying the latitude correction suggested by Olbert (1954). The integral muon intensities are found to be on the average 3.5% lower and 21.6% higher than the values obtained by Allkofer et al. and Rossi respectively. The differential intensities derived from the integral ones are 20% higher than those calculated from Olbert at the same latitude. The results of the other recent measurements on the differential muon intensities in the low energy region in relation to a form spectrum are also discussed.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"30 1","pages":"1236-1242"},"PeriodicalIF":0.0,"publicationDate":"1972-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75758034","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}
Pub Date : 1972-08-01DOI: 10.1088/0305-4470/5/8/015
M. S. Stern, A. Warburton
It is shown that the S-wave eigenvalues of the Lippmann-Schwinger kernel for the exponential potential can be determined from the zeros of a Bessel function whose order is energy dependent. An asymptotic expansion is obtained for the leading eigenvalue at negative energies.
{"title":"S-wave eigenvalues of the Lippmann-Schwinger kernel for the exponential potential","authors":"M. S. Stern, A. Warburton","doi":"10.1088/0305-4470/5/8/015","DOIUrl":"https://doi.org/10.1088/0305-4470/5/8/015","url":null,"abstract":"It is shown that the S-wave eigenvalues of the Lippmann-Schwinger kernel for the exponential potential can be determined from the zeros of a Bessel function whose order is energy dependent. An asymptotic expansion is obtained for the leading eigenvalue at negative energies.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"1 1","pages":"1233-1235"},"PeriodicalIF":0.0,"publicationDate":"1972-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81966191","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}
Pub Date : 1972-08-01DOI: 10.1088/0305-4470/5/8/007
C. M. Farmer
The forms of the virial and hypervirial theorems are derived when a distribution function, that is, the Laplace transform of a distribution is taken to define a quantum-mechanical system. The validity of the resulting equations imposes necessary (and sufficient) conditions on the distribution and hence the distribution function. Distribution theory is used to establish the existence of an exponential function satisfying the virial theorem for the Yukawa potential for a restricted range of the defining parameters. For hypervirial relations, the method would seem of little practical importance.
{"title":"Distribution functions in virial and hypervirial theory","authors":"C. M. Farmer","doi":"10.1088/0305-4470/5/8/007","DOIUrl":"https://doi.org/10.1088/0305-4470/5/8/007","url":null,"abstract":"The forms of the virial and hypervirial theorems are derived when a distribution function, that is, the Laplace transform of a distribution is taken to define a quantum-mechanical system. The validity of the resulting equations imposes necessary (and sufficient) conditions on the distribution and hence the distribution function. Distribution theory is used to establish the existence of an exponential function satisfying the virial theorem for the Yukawa potential for a restricted range of the defining parameters. For hypervirial relations, the method would seem of little practical importance.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"42 1","pages":"1138-1151"},"PeriodicalIF":0.0,"publicationDate":"1972-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90729633","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}
Pub Date : 1972-07-01DOI: 10.1088/0305-4470/5/7/005
S. Feneuille, A. Crubellier
The relativistic Kepler problem in Dirac form is solved by means of a quaternionic method for particles having both electric and magnetic charges. The variables in spherical coordinates can be separated in a simple way and the results obtained are similar to those which are valid for the usual hydrogen atom.
{"title":"Quaternionic solutions for the relativistic Kepler problem with magnetic charges","authors":"S. Feneuille, A. Crubellier","doi":"10.1088/0305-4470/5/7/005","DOIUrl":"https://doi.org/10.1088/0305-4470/5/7/005","url":null,"abstract":"The relativistic Kepler problem in Dirac form is solved by means of a quaternionic method for particles having both electric and magnetic charges. The variables in spherical coordinates can be separated in a simple way and the results obtained are similar to those which are valid for the usual hydrogen atom.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"8 1","pages":"944-949"},"PeriodicalIF":0.0,"publicationDate":"1972-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85238234","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}
Pub Date : 1972-07-01DOI: 10.1088/0305-4470/5/7/009
P. Wright
It is proposed that thermodynamic relations to be used for lambda transitions in mixtures will normally follow the lines of Pippard's relations for lambda transitions in pure substances. The relations given by Stout, treating Cp as finite but discontinuous, will usually be irrelevant.
{"title":"Revised thermodynamic relations for lambda transitions in mixtures. I. Examination in terms of properties generally relevant","authors":"P. Wright","doi":"10.1088/0305-4470/5/7/009","DOIUrl":"https://doi.org/10.1088/0305-4470/5/7/009","url":null,"abstract":"It is proposed that thermodynamic relations to be used for lambda transitions in mixtures will normally follow the lines of Pippard's relations for lambda transitions in pure substances. The relations given by Stout, treating Cp as finite but discontinuous, will usually be irrelevant.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"20 1","pages":"1004-1014"},"PeriodicalIF":0.0,"publicationDate":"1972-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78753948","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}
Pub Date : 1972-07-01DOI: 10.1088/0305-4470/5/7/010
P. Wright
For pt. I see ibid., vol.5, 1004 (1972). On the basis of the behaviour of magnetic and electric susceptibilities, and of magnetostriction and electrostriction, the possibility is investigated of obtaining additional Pippard relations for the effect of change of composition on (magnetic or electric) Curie points and Neel points of mixtures. The question is aired of whether further such relations might not sometimes be obtainable on the basis of the behaviour of properties other than equilibrium thermodynamic properties.
{"title":"Revised thermodynamic relations for lambda transitions in mixtures. II. Special relations for Curie points and Neel points","authors":"P. Wright","doi":"10.1088/0305-4470/5/7/010","DOIUrl":"https://doi.org/10.1088/0305-4470/5/7/010","url":null,"abstract":"For pt. I see ibid., vol.5, 1004 (1972). On the basis of the behaviour of magnetic and electric susceptibilities, and of magnetostriction and electrostriction, the possibility is investigated of obtaining additional Pippard relations for the effect of change of composition on (magnetic or electric) Curie points and Neel points of mixtures. The question is aired of whether further such relations might not sometimes be obtainable on the basis of the behaviour of properties other than equilibrium thermodynamic properties.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"21 1","pages":"1015-1017"},"PeriodicalIF":0.0,"publicationDate":"1972-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87264455","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}
Pub Date : 1972-07-01DOI: 10.1088/0305-4470/5/7/013
J. Jenkins
The quantization of a massive spin one particle field, satisfying the first order system of equations due to Proca, is summarized. The interaction of such a field with an arbitrary field is then considered. Equivalent theories in terms of vector and antisymmetric second rank tensor spin one fields are then constructed in a simple manner, providing a generalization of an equivalence theorem due to the author. In addition, this approach, involving the use of first order systems of equations, allows a simple extension to the case of equivalence theorems for arbitrary integral spin. The nature of this extension is indicated.
{"title":"Some remarks on an equivalence theorem for an interacting massive spin one particle in quantum field theory","authors":"J. Jenkins","doi":"10.1088/0305-4470/5/7/013","DOIUrl":"https://doi.org/10.1088/0305-4470/5/7/013","url":null,"abstract":"The quantization of a massive spin one particle field, satisfying the first order system of equations due to Proca, is summarized. The interaction of such a field with an arbitrary field is then considered. Equivalent theories in terms of vector and antisymmetric second rank tensor spin one fields are then constructed in a simple manner, providing a generalization of an equivalence theorem due to the author. In addition, this approach, involving the use of first order systems of equations, allows a simple extension to the case of equivalence theorems for arbitrary integral spin. The nature of this extension is indicated.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"36 1","pages":"1037-1042"},"PeriodicalIF":0.0,"publicationDate":"1972-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86306087","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}
Pub Date : 1972-07-01DOI: 10.1088/0305-4470/5/7/004
J. S. Dowker
The basic framework for discussing quantum mechanics on multiply connected spaces is presented using the covering space concept. The theorem of Laidlaw and DeWitt is rederived and extended to the case of field theory. It is pointed out that chiral dynamics is similar to Skyrme's nonlinear theory and forms another example of Finkelstein's kink idea. The possible existence of ' pi geons' is raised, and the fact that the pion manifold may be any one of the Clifford-Klein constant curvature space-forms, rather than just the whole three-sphere, is suggested. The related formalism for quantum mechanics on homogeneous spaces is given in general terms.
{"title":"Quantum mechanics and field theory on multiply connected and on homogeneous spaces","authors":"J. S. Dowker","doi":"10.1088/0305-4470/5/7/004","DOIUrl":"https://doi.org/10.1088/0305-4470/5/7/004","url":null,"abstract":"The basic framework for discussing quantum mechanics on multiply connected spaces is presented using the covering space concept. The theorem of Laidlaw and DeWitt is rederived and extended to the case of field theory. It is pointed out that chiral dynamics is similar to Skyrme's nonlinear theory and forms another example of Finkelstein's kink idea. The possible existence of ' pi geons' is raised, and the fact that the pion manifold may be any one of the Clifford-Klein constant curvature space-forms, rather than just the whole three-sphere, is suggested. The related formalism for quantum mechanics on homogeneous spaces is given in general terms.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"13 11 1","pages":"936-943"},"PeriodicalIF":0.0,"publicationDate":"1972-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72791125","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}
Pub Date : 1972-07-01DOI: 10.1088/0305-4470/5/7/018
B. Keen, M. W. Alcock
Results are presented for a low frequency self-excited oscillation in an inhomogeneous r.f. collisional plasma. By using a method of dynamic stabilization to reduce the instability to a low level frequency measurements have been made in the linear regime where most linearized theories apply. Also, by analysing the subsequent return of the oscillations to its saturation level, the linear growth rate has been obtained. Comparison of these growth rate and frequency measurements in the linear regime with a previous theory of the drift-dissipative instability shows reasonably good agreement.
{"title":"Growth rate and frequency dispersion characteristics of drift waves in an r.f. collisional plasma","authors":"B. Keen, M. W. Alcock","doi":"10.1088/0305-4470/5/7/018","DOIUrl":"https://doi.org/10.1088/0305-4470/5/7/018","url":null,"abstract":"Results are presented for a low frequency self-excited oscillation in an inhomogeneous r.f. collisional plasma. By using a method of dynamic stabilization to reduce the instability to a low level frequency measurements have been made in the linear regime where most linearized theories apply. Also, by analysing the subsequent return of the oscillations to its saturation level, the linear growth rate has been obtained. Comparison of these growth rate and frequency measurements in the linear regime with a previous theory of the drift-dissipative instability shows reasonably good agreement.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"30 1","pages":"1095-1107"},"PeriodicalIF":0.0,"publicationDate":"1972-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74140885","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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