Conditional probability amplitudes in wave mechanics

✍ Scribed by Geoffrey Hunter

• Publisher: John Wiley and Sons
• Year: 1975
• Tongue: English
• Weight: 311 KB
• Volume: 9
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/qua.560090205

✦ Synopsis

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 __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.