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Quantum Transport by Yaroslav M. Blanter, Yuli V. Nazarov

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A Appendix A Survival kit for advanced quantum mechanics

A.1 Green’s function of the Schrödinger equation

The wave function of a particle, is determined from the Schrödinger equation. Its absolute value squared gives the probability of finding a particle at point r at the time moment t. A more informative quantity is the Green’s function of the Schro dinger equation, given by G(r, t; r′, t′). Its absolute value squared gives the conditional probability: the probability of finding the particle at (r, t), provided it was at the point r

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