Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Gabino Torres Vega"'
Publikováno v:
Symmetry, Vol 13, Iss 2, p 306 (2021)
We discuss quantum time states formed with a finite number of energy eigenstates with the purpose of obtaining a time coordinate. These time states are eigenstates of the recently introduced discrete time operator. The coordinate and momentum represe
Externí odkaz:
https://doaj.org/article/48c2076a50a54d0d996ac5f33656fd35
Autor:
Gabino Torres-Vega
Publikováno v:
Entropy, Vol 15, Iss 10, Pp 4105-4121 (2013)
In a previous paper, we introduced a way to generate a time coordinate system for classical and quantum systems when the potential function has extremal points. In this paper, we deal with the case in which the potential function has no extremal poin
Externí odkaz:
https://doaj.org/article/5291108d959c4b55850885e949aafb36
Publikováno v:
Entropy, Vol 15, Iss 6, Pp 2415-2430 (2013)
A subject of interest in classical and quantum mechanics is the development of the appropriate treatment of the time variable. In this paper we introduce a method of choosing the initial time eigensurface and how this method can be used to generate t
Externí odkaz:
https://doaj.org/article/8ec077311c93436c86c576207bb67228
Publikováno v:
Symmetry, Vol 9, Iss 10, p 217 (2017)
We define a finite-differences derivative operation, on a non uniformly spaced partition, which has the exponential function as an exact eigenvector. We discuss some properties of this operator and we propose a definition for the components of a fini
Externí odkaz:
https://doaj.org/article/5aaf4442a43e44d682985cf7974bd5a7
Autor:
Gabino Torres Vega
Publikováno v:
Nonlinear Optics-Novel Results in Theory and Applications
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b68d9a56ee9dfe38062b99074d84b909
http://www.intechopen.com/articles/show/title/three-solutions-to-the-nonlinear-schr-dinger-equation-for-a-constant-potential
http://www.intechopen.com/articles/show/title/three-solutions-to-the-nonlinear-schr-dinger-equation-for-a-constant-potential
Publikováno v:
Journal of Mathematical Physics. 62:012103
We use a discrete derivative to introduce a time operator for non-relativistic quantum systems with point spectrum. The symmetry requirement on the time operator leads to well-defined time values related to the dynamics of discrete quantum systems. A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13eef6b21c0cc17bec4e97df02565f92
https://doi.org/10.1063/5.0021565
https://doi.org/10.1063/5.0021565
Publikováno v:
Canadian Journal of Physics. 94:1365-1368
We study translations in quantum mechanics for the case of a point spectrum, including translations by non-allowed amounts. We find that we obtain a copy of the original interval if we want to move to the outside of it, or to a mixture of states when
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82b9707fbefeda74954ceafc15688a90
https://doi.org/10.1139/cjp-2016-0373
https://doi.org/10.1139/cjp-2016-0373
Autor:
Gabino Torres-Vega
Publikováno v:
Foundations of Physics. 46:689-701
We consider the first-order finite-difference expression of the commutator between d / dx and x. This is the appropriate setting in which to propose commutators and time operators for a quantum system with an arbitrary potential function and a discre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52a372053172201f765545d40e10a839
https://doi.org/10.1007/s10701-016-9997-7
https://doi.org/10.1007/s10701-016-9997-7
Publikováno v:
Matrix Theory-Applications and Theorems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcb39a16c3886f813e1ffd5bc88fd667
https://doi.org/10.5772/intechopen.74356
https://doi.org/10.5772/intechopen.74356
Publikováno v:
Numerical Simulations in Engineering and Science
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c32b4e8637ef50c843d38acfd4f25d55
http://www.intechopen.com/articles/show/title/exact-finite-differences-for-quantum-mechanics
http://www.intechopen.com/articles/show/title/exact-finite-differences-for-quantum-mechanics