A signed particle formulation of non-relativistic quantum mechanics

JOURNAL OF COMPUTATIONAL PHYSICS

卷:297

Article

Sellier, Jean Michel

关键词: Mathematical formulation of quantum mechanics;    Newtonian particles;    Wigner formalism;    Schrodinger equation;    Relativistic quantum mechanics;    Quantum tunnelling;   

DOI  :  10.1016/j.jcp.2015.05.036

来源: Elsevier

【 摘 要 】

A formulation of non-relativistic quantum mechanics in terms of Newtonian particles is presented in the shape of a set of three postulates. In this new theory, quantum systems are described by ensembles of signed particles which behave as field-less classical objects which carry a negative or positive sign and interact with an external potential by means of creation and annihilation events only. This approach is shown to be a generalization of the signed particle Wigner Monte Carlo method which reconstructs the time-dependent Wigner quasi-distribution function of a system and, therefore, the corresponding Schrodinger time-dependent wave-function. Its classical limit is discussed and a physical interpretation, based on experimental evidences coming from quantum tomography, is suggested. Moreover, in order to show the advantages brought by this novel formulation, a straightforward extension to relativistic effects is discussed. To conclude, quantum tunnelling numerical experiments are performed to show the validity of the suggested approach. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free