Conditional probability amplitude analysis of coupled harmonic oscillators | Zendy

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Conditional probability amplitude analysis of coupled harmonic oscillators

Author(s) -

Hunter Geoffrey

Publication year - 2009

Publication title -

international journal of quantum chemistry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.484

H-Index - 105

eISSN - 1097-461X

pISSN - 0020-7608

DOI - 10.1002/qua.560080844

Subject(s) - amplitude , probability amplitude , conditional probability , simple harmonic motion , factorization , harmonic oscillator , renormalization , harmonic , physics , statistical physics , mathematics , quantum electrodynamics , quantum mechanics , statistics , quantum operation , algorithm , open quantum system , quantum

The wave functions of two coupled harmonic oscillators are factorized as the product of a marginal probability amplitude and a conditional probability amplitude. This factorization exemplifies the general theory of conditional probability amplitudes in wave mechanics. Renormalization of the amplitudes leads to a very simple description of the motion of the coupled oscillators.

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