Zobrazeno 1 - 10
of 383
pro vyhledávání: '"Carl M. Bender"'
Autor:
Carl M. Bender, Sarben Sarkar
Publikováno v:
Universe, Vol 10, Iss 2, p 72 (2024)
This paper presents new classes of exact radial solutions to the nonlinear ordinary differential equation that arises as a saddle-point condition for a Euclidean scalar field theory in D-dimensional spacetime. These solutions are found by exploiting
Externí odkaz:
https://doaj.org/article/16ac5476c2e74d7fad5ace969b6c76b9
Autor:
Carl M. Bender
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 126 (2007)
For any pair of quantum states, an initial state $|I angle$ and afinal quantum state $|F angle$, in a Hilbert space, there are many Hamiltonians $H$ under which $|I angle$ evolves into $|F angle$. Let us impose the constraint that the difference betw
Externí odkaz:
https://doaj.org/article/874eb4d8374b40f0872dc2e64ad81f56
Publikováno v:
Physical Review D. 106
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cff7c74659dd3f91a5c0af86aa9da55d
https://doi.org/10.1103/physrevd.106.125016
https://doi.org/10.1103/physrevd.106.125016
Publikováno v:
American Journal of Physics. 88:148-152
In quantum mechanics the eigenstates of the Hamiltonian form a complete basis. However, physicists conventionally express completeness as a formal sum over the eigenstates, and this sum is typically a divergent series if the Hilbert space is infinite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d25d7ef89a12818b4cebbc8d9876cd5
https://doi.org/10.1119/10.0000215
https://doi.org/10.1119/10.0000215
Non-Hermitian theories that are explicitly PT-symmetric and/or quasi/pseudo-Hermitian have become the subject of an active research field for the last two decades. They constitute well-defined classical and quantum theories possessing real eigenvalue
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7e9440fe374765822c9c599a98c0ef7
https://openaccess.city.ac.uk/id/eprint/26946/1/_2021_J._Phys.__Conf._Ser._2038_011001.pdf
https://openaccess.city.ac.uk/id/eprint/26946/1/_2021_J._Phys.__Conf._Ser._2038_011001.pdf
Publikováno v:
Physical Review D. 104
In a previous paper it was shown how to calculate the ground-state energy density $\mathcal{E}$ and the $p$-point Green's functions ${G}_{p}({x}_{1},{x}_{2},\dots{},{x}_{p})$ for the $\mathcal{PT}$-symmetric quantum field theory defined by the Hamilt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10eb191eec48755bbdd60e2bfc26881b
https://doi.org/10.1103/physrevd.104.085011
https://doi.org/10.1103/physrevd.104.085011
Quantum systems governed by non-Hermitian Hamiltonians with PT symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We argue that PT symmetry may also be important and present at the level of Hermitian quan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::489d461c979696a837ccff1d5a96fa7f
http://arxiv.org/abs/2103.14864
http://arxiv.org/abs/2103.14864
Autor:
Carl M. Bender, Daniel W. Hook
Publikováno v:
Journal of Physics: Conference Series. 2038:012003
This paper reports the results of an ongoing in-depth analysis of the classical trajectories of the class of non-Hermitian $PT$-symmetric Hamiltonians $H=p^2+ x^2(ix)^\varepsilon$ ($\varepsilon\geq0$). A variety of phenomena, heretofore overlooked, h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96073b172e38ccb5ed043ee32356d10e
https://doi.org/10.1088/1742-6596/2038/1/012003
https://doi.org/10.1088/1742-6596/2038/1/012003
Publikováno v:
Physical Review A. 99
Relativistic $\mathcal{PT}$-symmetric fermionic interacting systems are studied in $1+1$ and $3+1$ dimensions. The noninteracting Dirac equation is separately $\mathcal{P}$ and $\mathcal{T}$ invariant. The objective here is to include non-Hermitian $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0dc48365e720defa0f1f3d0ad24eda3d
https://doi.org/10.1103/physreva.99.062117
https://doi.org/10.1103/physreva.99.062117