Schrödinger equation revisited.

Abstract:

:The time-dependent Schrödinger equation is a cornerstone of quantum physics and governs all phenomena of the microscopic world. However, despite its importance, its origin is still not widely appreciated and properly understood. We obtain the Schrödinger equation from a mathematical identity by a slight generalization of the formulation of classical statistical mechanics based on the Hamilton-Jacobi equation. This approach brings out most clearly the fact that the linearity of quantum mechanics is intimately connected to the strong coupling between the amplitude and phase of a quantum wave.

authors

Schleich WP,Greenberger DM,Kobe DH,Scully MO

doi

10.1073/pnas.1302475110

subject

Has Abstract

pub_date

2013-04-02 00:00:00

pages

5374-9

issue

14

eissn

0027-8424

issn

1091-6490

pii

1302475110

journal_volume

110

pub_type

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