Energy Levels of “Hydrogen Atom” in Discrete Time Dynamics |
| |
Authors: | Andrei Khrennikov Yaroslav Volovich |
| |
Affiliation: | 1. International Center for Mathematical Modeling in Physics, Engineering and Cognitive Science MSI, V?xj? University, S-35195, Sweden
|
| |
Abstract: | We analyze dynamical consequences of a conjecture that there exists a fundamental (indivisible) quant of time. In particular
we study the problem of discrete energy levels of hydrogen atom. We are able to reconstruct potential which in discrete time
formalism leads to energy levels of unperturbed hydrogen atom. We also consider linear energy levels of quantum harmonic oscillator
and show how they are produced in the discrete time formalism. More generally, we show that in discrete time formalism finite
motion in central potential leads to discrete energy spectrum, the property which is common for quantum mechanical theory.
Thus deterministic (but discrete time!) dynamics is compatible with discrete energy levels. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|