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Conditional probability amplitudes in wave mechanics

. International Journal of Quantum Chemistry, 9 (2): 237--242 (March 1975)
DOI: 10.1002/qua.560090205

Abstract

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 Hψ = Eψ 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.

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