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.
%0 Journal Article
%1 QUA:QUA560090205
%A Hunter, Geoffrey
%D 1975
%I John Wiley & Sons, Inc.
%J International Journal of Quantum Chemistry
%K energy equation mechanics physics potential quantum schrodinger solution surface
%N 2
%P 237--242
%R 10.1002/qua.560090205
%T Conditional probability amplitudes in wave mechanics
%U http://dx.doi.org/10.1002/qua.560090205
%V 9
%X 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.
@article{QUA:QUA560090205,
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.},
added-at = {2013-06-06T22:30:54.000+0200},
author = {Hunter, Geoffrey},
biburl = {https://www.bibsonomy.org/bibtex/2fbc0326cc3da484c6dc2f5c7d5877474/drmatusek},
doi = {10.1002/qua.560090205},
interhash = {acb84416e2702a3aaf57f1fd2c5bb1e8},
intrahash = {fbc0326cc3da484c6dc2f5c7d5877474},
issn = {1097-461X},
journal = {International Journal of Quantum Chemistry},
keywords = {energy equation mechanics physics potential quantum schrodinger solution surface},
month = mar,
number = 2,
pages = {237--242},
publisher = {John Wiley & Sons, Inc.},
timestamp = {2013-06-06T22:30:55.000+0200},
title = {Conditional probability amplitudes in wave mechanics},
url = {http://dx.doi.org/10.1002/qua.560090205},
volume = 9,
year = 1975
}