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A Physical Axiomatic Approach to Schrodinger's Equation

2005/08/31 by Rajesh R. Parwani · 1 citation
Physics and Astronomy · #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #hep-th #quant-ph

paper · pdf · doi:10.1007/s10773-006-9159-3

published as Int.J.Theor.Phys. 45 (2006) 1901-1913 · Extended version. 14 pages

arxiv created 2005/10/04 · openalex publication_date 2006/05/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

The Schrodinger equation for non-relativistic quantum systems is derived from some classical physics axioms within an ensemble hamiltonian framework. Such an approach enables one to understand the structure of the equation, in particular its linearity, in intuitive terms. Furthermore it allows for a physically motivated and systematic investigation of potential generalisations which are briefly discussed.

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