Zobrazeno 1 - 10
of 67
pro vyhledávání: '"L. M. Simmons"'
Publikováno v:
Physica D: Nonlinear Phenomena. 56:68-83
The σ expansion and the linear σ expansion are analytical perturbation techniques that enable one to find approximate analytic solutions to nonlinear problems. These expansions, augmented by new variational strategies, often yield excellent results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3b93973b65c8f1aca2ca223661194e5
https://doi.org/10.1016/0167-2789(92)90051-n
https://doi.org/10.1016/0167-2789(92)90051-n
Publikováno v:
Physics Letters A. 156:436-440
We study analytically the family of nonlinear Schrodinger equations (NLSE) i ϖψ ϖ + ϖ 2 ψ ϖx 2 +g… ψ ψ… K ψ = 0 for arbitrary values of the nonlinearity parameter ϰ using two variational strategies based on two different perturbation ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff4652723e2ae9d449bf6ca1aac3c160
https://doi.org/10.1016/0375-9601(91)90723-l
https://doi.org/10.1016/0375-9601(91)90723-l
Publikováno v:
Journal of Statistical Physics. 64:395-428
We discuss the randomly driven systemdx/dt= -W(x) +f(t), wheref(t) is a Gaussian random function or stirring force with〈f(t)f(t′)〉=2δ(t−t′), andW(x) is of the formgx1+2δ. The parameterδ is a measure of the nonlinearity of the equation. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29950491f2ce097f28c884e0556437ab
https://doi.org/10.1007/bf01057884
https://doi.org/10.1007/bf01057884
Publikováno v:
Physical Review D. 43:3396-3399
Recently two variational strategies have been applied to the standard and linear {delta} expansions for quantum field theories. These strategies, both of which improve the accuracy of the expansions, have the property that for {ital N} self-interacti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65f2c92011de6ce1c97859ce1708a65a
https://doi.org/10.1103/physrevd.43.3396
https://doi.org/10.1103/physrevd.43.3396
Publikováno v:
Journal of Mathematical Physics. 31:2722-2725
The δ expansion, a recently proposed nonperturbative technique in quantum field theory, is used to calculate the dimensionless renormalized coupling constant of a λ(φ2)1+δ quantum field theory in d‐dimensional space‐time at the critical point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0495e66cfd9132bbf5445a351f91b555
https://doi.org/10.1063/1.528975
https://doi.org/10.1063/1.528975
Publikováno v:
Nuclear Physics B. 329:574-582
The δ expansion method is used to study all scalar field theories with symmetric monomial self-interactions of the form ( φ 2 ) p in four dimensions. With a momentum cut-off Λ it is shown that these theories are all distinct, admit spontaneous sym
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5032ccd7e7e23e1ade2804e3f5aa6b4
https://doi.org/10.1016/0550-3213(90)90071-k
https://doi.org/10.1016/0550-3213(90)90071-k
Autor:
L. M. Simmons
Publikováno v:
Physics Today. 63:57-58
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d5f2b1cf1cf5e9a8841143f8aeaa4a2
https://doi.org/10.1063/1.3326995
https://doi.org/10.1063/1.3326995
Autor:
Fred Cooper, Kimball A. Milton, L. M. Simmons, Stephen S. Pinsky, Carl M. Bender, Moshe Moshe
Publikováno v:
Physical review. D, Particles and fields. 45(4)
The principles of the \ensuremath{\delta} perturbation theory were first proposed in the context of self-interacting scalar quantum field theory. There it was shown how to expand a (${\mathrm{\ensuremath{\varphi}}}^{2}$${)}^{1+\mathrm{\ensuremath{\de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9f911a404e0fbf42b8c7c08d8552972
https://pubmed.ncbi.nlm.nih.gov/10014497
https://pubmed.ncbi.nlm.nih.gov/10014497
Publikováno v:
Physics Letters B. 109:63-66
Normally, a lattice is introduced to regulate a strong-coupling expansion in quantum field theory. We investigate a class of alternative continuum regulation schemes and show that they fail.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e2265bac74516cd854e08c01fa1f765
https://doi.org/10.1016/0370-2693(82)90464-6
https://doi.org/10.1016/0370-2693(82)90464-6
Autor:
Michael Martin Nieto, L. M. Simmons
Publikováno v:
Physical Review D. 20:1342-1350
We apply our minimum-uncertainty coherent-states (MUCS) formalism to two one-dimensional systems that have continua: the symmetric Rosen-Morse potential and the Morse potential. The coherent states are discussed analytically in great detail, and the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa9f1e1fed1644fafaf2fc31b11efec0
https://doi.org/10.1103/physrevd.20.1342
https://doi.org/10.1103/physrevd.20.1342