Pub Date : 1984-01-01DOI: 10.1088/0305-4470/17/18/530
A. Guttmann, N. Wormald
{"title":"Erratum: On the number of spiral self-avoiding walks (J. Phys. A: Math. Gen. (1984) 17 (L271-4))","authors":"A. Guttmann, N. Wormald","doi":"10.1088/0305-4470/17/18/530","DOIUrl":"https://doi.org/10.1088/0305-4470/17/18/530","url":null,"abstract":"","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"3 1","pages":"530"},"PeriodicalIF":0.0,"publicationDate":"1984-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74332536","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 : 1972-12-01DOI: 10.1088/0305-4470/5/12/008
P. Dondi
A method for constructing linear representations from nonlinearly transforming pseudoscalar mesons is developed for the group SU(3)*SU(3). The use of these functions as symmetry breaking terms is made apparent in phenomenological Lagrangians and current theories where the Schwinger term plays a particularly natural role as the symmetry breaker.
{"title":"Linearization and symmetry breaking in nonlinear SU(3) x SU(3)","authors":"P. Dondi","doi":"10.1088/0305-4470/5/12/008","DOIUrl":"https://doi.org/10.1088/0305-4470/5/12/008","url":null,"abstract":"A method for constructing linear representations from nonlinearly transforming pseudoscalar mesons is developed for the group SU(3)*SU(3). The use of these functions as symmetry breaking terms is made apparent in phenomenological Lagrangians and current theories where the Schwinger term plays a particularly natural role as the symmetry breaker.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"408 ","pages":"1689-1697"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/0305-4470/5/12/008","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72423474","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 : 1972-12-01DOI: 10.1088/0305-4470/5/12/011
C. Grupen, M. Hamdan, S. Hansen, M. Thompson, A. Wolfendale, E. Young
For pt.i see Ibid., vol.5, no.12, 1706. The Durham spectrograph MARS has been used to study the electromagnetic interactions of cosmic ray muons in iron in the energy range 6-200 GeV. The interaction probabilities for producing single electrons and electron bursts of various sizes from the knock-on process, direct electron pair production and bremsstrahlung are investigated as a function of muon energy. Reasonable agreement between the measured probabilities and those predicted has been found and it is concluded that significant deviations from accepted theory are not likely.
{"title":"Electromagnetic interactions of cosmic ray muons in iron. II. Momentum dependence of the interaction probabilities","authors":"C. Grupen, M. Hamdan, S. Hansen, M. Thompson, A. Wolfendale, E. Young","doi":"10.1088/0305-4470/5/12/011","DOIUrl":"https://doi.org/10.1088/0305-4470/5/12/011","url":null,"abstract":"For pt.i see Ibid., vol.5, no.12, 1706. The Durham spectrograph MARS has been used to study the electromagnetic interactions of cosmic ray muons in iron in the energy range 6-200 GeV. The interaction probabilities for producing single electrons and electron bursts of various sizes from the knock-on process, direct electron pair production and bremsstrahlung are investigated as a function of muon energy. Reasonable agreement between the measured probabilities and those predicted has been found and it is concluded that significant deviations from accepted theory are not likely.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"74 1","pages":"1713-1721"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83744966","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 : 1972-12-01DOI: 10.1088/0305-4470/5/12/012
P. Davies
The author determines the maximal class of conformally flat cosmological models which eventually absorb all the electromagnetic radiation they contain. This is the requirement of the Wheeler-Feynman absorber theory of radiation. The condition for complete absorption is more or less written down immediately, and the various cosmological models tested by inspection. Some of the existing errors concerning the refractive index of the intergalactic medium and the past absorber are examined in some detail. Of the Friedmann cosmologies, only the oscillating models are opaque. A number of ever-expanding nonrelativistic cosmologies such as the Dirac and the latest Hoyle-Narlikar models, are also opaque. An assessment of the present value of the Wheeler-Feynman theory is given in the light of recent work on its quantization.
{"title":"Is the universe transparent or opaque","authors":"P. Davies","doi":"10.1088/0305-4470/5/12/012","DOIUrl":"https://doi.org/10.1088/0305-4470/5/12/012","url":null,"abstract":"The author determines the maximal class of conformally flat cosmological models which eventually absorb all the electromagnetic radiation they contain. This is the requirement of the Wheeler-Feynman absorber theory of radiation. The condition for complete absorption is more or less written down immediately, and the various cosmological models tested by inspection. Some of the existing errors concerning the refractive index of the intergalactic medium and the past absorber are examined in some detail. Of the Friedmann cosmologies, only the oscillating models are opaque. A number of ever-expanding nonrelativistic cosmologies such as the Dirac and the latest Hoyle-Narlikar models, are also opaque. An assessment of the present value of the Wheeler-Feynman theory is given in the light of recent work on its quantization.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"1 1","pages":"1722-1737"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88141193","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 : 1972-12-01DOI: 10.1088/0305-4470/5/12/010
C. Grupen, M. Hamdan, S. Hansen, M. Thompson, A. Wolfendale, E. Young
A search for a charge asymmetry in the interactions of cosmic ray muons in iron has been made using the Durham spectrograph MARS. The measurements cover the range of muon energy 6-200 GeV and refer to interaction secondaries varying in number from one to about 20. The ratio of the interaction probability for positive muons to that for negative muons is 1.08+or-0.06 for interactions having two or more secondaries. This value is less than that found in some previous experiments and does not give support to the existence of a charge asymmetry.
{"title":"Electromagnetic interactions of cosmic ray muons in iron. I. Search for a charge asymmetry","authors":"C. Grupen, M. Hamdan, S. Hansen, M. Thompson, A. Wolfendale, E. Young","doi":"10.1088/0305-4470/5/12/010","DOIUrl":"https://doi.org/10.1088/0305-4470/5/12/010","url":null,"abstract":"A search for a charge asymmetry in the interactions of cosmic ray muons in iron has been made using the Durham spectrograph MARS. The measurements cover the range of muon energy 6-200 GeV and refer to interaction secondaries varying in number from one to about 20. The ratio of the interaction probability for positive muons to that for negative muons is 1.08+or-0.06 for interactions having two or more secondaries. This value is less than that found in some previous experiments and does not give support to the existence of a charge asymmetry.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"26 1","pages":"1706-1712"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80845257","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 : 1972-12-01DOI: 10.1088/0305-4470/5/12/001
P. A. Goodinson
The author presents here a generalization of an already known solution, given by Kramer (1972).
作者在此提出了Kramer(1972)给出的已知解决方案的概括。
{"title":"A note on the gravitational field of a rotating radiating source","authors":"P. A. Goodinson","doi":"10.1088/0305-4470/5/12/001","DOIUrl":"https://doi.org/10.1088/0305-4470/5/12/001","url":null,"abstract":"The author presents here a generalization of an already known solution, given by Kramer (1972).","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72968084","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 : 1972-12-01DOI: 10.1088/0305-4470/5/12/004
H. Nickle, B. L. Beers
An algebraic approach to the solution of the Klein-Gordon equation is described for the case of a charged particle in the presence of plane-wave electromagnetic radiation. From an examination of the commutation relations between Pmu =-i( delta / delta xmu ) and Anu , P.A A.A, etc. one finds a new set of 'translation' operators Pi mu which commute with the total 'Hamiltonian'. The authors then construct a representation of the Poincare group out of the Pi mu and their canonically conjugate 'coordinates' Qnu . The solutions are shown to correspond to the spin zero mass m representation of the restricted Poincare group. Applications of the technique to other quantum-mechanical problems are also briefly discussed.
{"title":"Algebraic solution of the Klein-Gordon equation","authors":"H. Nickle, B. L. Beers","doi":"10.1088/0305-4470/5/12/004","DOIUrl":"https://doi.org/10.1088/0305-4470/5/12/004","url":null,"abstract":"An algebraic approach to the solution of the Klein-Gordon equation is described for the case of a charged particle in the presence of plane-wave electromagnetic radiation. From an examination of the commutation relations between Pmu =-i( delta / delta xmu ) and Anu , P.A A.A, etc. one finds a new set of 'translation' operators Pi mu which commute with the total 'Hamiltonian'. The authors then construct a representation of the Poincare group out of the Pi mu and their canonically conjugate 'coordinates' Qnu . The solutions are shown to correspond to the spin zero mass m representation of the restricted Poincare group. Applications of the technique to other quantum-mechanical problems are also briefly discussed.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"10 1","pages":"1658-1663"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81980950","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 : 1972-12-01DOI: 10.1088/0305-4470/5/12/005
R. E. Trueman, S. Whittington
A Monte Carlo technique is described for estimating the number of tadpoles of a given size, which are weakly embeddable in a given lattice. Data are reported for the square lattice for tadpoles with up to twenty edges in the head and up to fifty edges in the tail. These data are combined with good self-avoiding walk extrapolants to yield estimates of the limiting probability (pk) of forming a head with k edges, and it is suggested that pk approximately k- alpha where alpha approximately=2.13.
{"title":"Limiting ring closure probability on the square lattice","authors":"R. E. Trueman, S. Whittington","doi":"10.1088/0305-4470/5/12/005","DOIUrl":"https://doi.org/10.1088/0305-4470/5/12/005","url":null,"abstract":"A Monte Carlo technique is described for estimating the number of tadpoles of a given size, which are weakly embeddable in a given lattice. Data are reported for the square lattice for tadpoles with up to twenty edges in the head and up to fifty edges in the tail. These data are combined with good self-avoiding walk extrapolants to yield estimates of the limiting probability (pk) of forming a head with k edges, and it is suggested that pk approximately k- alpha where alpha approximately=2.13.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"147 1","pages":"1664-1668"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76236993","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 : 1972-12-01DOI: 10.1088/0305-4470/5/12/003
M. Caola
The author derives a spin hamiltonian V(S) for the g fold degenerate level of a system perturbed in first order by a physical perturbation V; the derivation explicitly relates the coefficients a, b, c,... of V(S) to the matrix elements VMM' of V between the zero order physical basis functions psi M. He shows how the symmetry of V and time reversal affect V(S), and considers three often treated examples as an illustration of the power and unity of his method.
{"title":"The spin hamiltonian","authors":"M. Caola","doi":"10.1088/0305-4470/5/12/003","DOIUrl":"https://doi.org/10.1088/0305-4470/5/12/003","url":null,"abstract":"The author derives a spin hamiltonian V(S) for the g fold degenerate level of a system perturbed in first order by a physical perturbation V; the derivation explicitly relates the coefficients a, b, c,... of V(S) to the matrix elements VMM' of V between the zero order physical basis functions psi M. He shows how the symmetry of V and time reversal affect V(S), and considers three often treated examples as an illustration of the power and unity of his method.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"36 1","pages":"1649-1657"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73426578","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 : 1972-12-01DOI: 10.1088/0305-4470/5/12/009
P. T. Davies
The author considers the superpropagator constructed from a chiral SU(2)*SU(2) invariant Lagrangian. He shows in general how the complications arising from the derivative couplings can be separated from the nonpolynomial, nonderivative part; and explicitly calculate the pion superpropagator for the unique choice of pion field that strict localizability requires. In an Appendix he shows that an extension of the Efimov-Fradkin Green function representation will give us n multiplet to n multiplet second order functions from the superpropagator.
{"title":"A chiral superpropagator for pions","authors":"P. T. Davies","doi":"10.1088/0305-4470/5/12/009","DOIUrl":"https://doi.org/10.1088/0305-4470/5/12/009","url":null,"abstract":"The author considers the superpropagator constructed from a chiral SU(2)*SU(2) invariant Lagrangian. He shows in general how the complications arising from the derivative couplings can be separated from the nonpolynomial, nonderivative part; and explicitly calculate the pion superpropagator for the unique choice of pion field that strict localizability requires. In an Appendix he shows that an extension of the Efimov-Fradkin Green function representation will give us n multiplet to n multiplet second order functions from the superpropagator.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"39 1","pages":"1698-1705"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85734883","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}