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.
journal_name
Proc Natl Acad Sci U S Aauthors
Schleich WP,Greenberger DM,Kobe DH,Scully MOdoi
10.1073/pnas.1302475110subject
Has Abstractpub_date
2013-04-02 00:00:00pages
5374-9issue
14eissn
0027-8424issn
1091-6490pii
1302475110journal_volume
110pub_type
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