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Conditional probability amplitudes in wave mechanics
Author(s) -
Hunter Geoffrey
Publication year - 1975
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.560090205
Subject(s) - amplitude , factorization , probability amplitude , function (biology) , wave function , product (mathematics) , mathematical physics , conditional probability , mathematics , schrödinger equation , physics , mathematical analysis , quantum mechanics , statistics , geometry , algorithm , quantum operation , evolutionary biology , open quantum system , quantum , biology
The total wave function of a system ψ( x, y ) is expressed as a product of a marginal amplitude function f ( y ) and a conditional amplitude function ϕ( x | y ). The original Schrödinger equation H ψ = E ψ is reduced to a Schrödinger equation for the marginal amplitude H ′ f = Ef . The factorization of ψ is in principle exact. It achieves a partial separation of the variables x and y .