The quantum mechanical theory of environmental effects

1960; Royal Society; Volume: 255; Issue: 1280 Linguagem: Inglês

10.1098/rspa.1960.0050

ISSN

2053-9169

Autores

Hugh Christopher Longuet-Higgins,

Tópico(s)

Advanced Thermodynamics and Statistical Mechanics

Resumo

A basic postulate of wave mechanics is that the wave function of a microscopic system develops in time according to the equation iℏ∂ψ/∂ t = H ψ, where H , the Hamiltonian, is an operator which in general depends upon the time. If, and only if, the Hamiltonian is time-independent, then the solutions of this equation take the form ψ( q, t ) = ∑ n c n Ѱ n ( q )e -1 E n t /ℏ , (2) where the individual terms Ѱ n ( q ) are functions of the co-ordinates alone and the E n are the corresponding eigenvalues of the Hamiltonian, satisfying HѰ n = E n Ѱ n . (3)

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