Operator of Time and Generalized Schrödinger Equation-Reference-Cited by-同舟云学术

Operator of Time and Generalized Schrödinger Equation

Published:2018 Issue: Volume:2018 Page:1-4
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Prvanović Slobodan¹^ORCID

Affiliation:

1. Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, 11080 Belgrade, Serbia

Abstract

The equation describing the change of the state of the quantum system with respect to energy is introduced within the framework of the self-adjoint operator of time in nonrelativistic quantum mechanics. In this proposal, the operator of time appears to be the generator of the change of the energy, while the operator of energy that is conjugate to the operator of time generates the time evolution. Two examples, one with discrete time and the other with continuous one, are given and the generalization of Schrödinger equation is proposed.

Funder

Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2018/6290982.pdf

Reference17 articles.

1. Simulating continuous-time Hamiltonian dynamics by way of a discrete-time quantum walk

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Complexified quantum and classical mechanics;Indian Journal of Physics;2023-05-09

2. Missing quantum number of Floquet states;Physical Review A;2022-05-19

3. Nonlocal Schrödinger Problem with Time Dependent Self-Adjoint Operator;Haliç Üniversitesi Fen Bilimleri Dergisi;2021-09-16

4. Radioactive decay seen as temporal canonical ensemble;Indian Journal of Physics;2019-04-25