2011 | OriginalPaper | Chapter
Dynamics
Authors : Stephen J. Gustafson, Israel Michael Sigal
Published in: Mathematical Concepts of Quantum Mechanics
Publisher: Springer Berlin Heidelberg
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The purpose of this chapter is to investigate the existence and a key property – conservation of probability – of solutions of the Schrödinger equation for a particle of mass
m
in a potential
V
. The relevant background material on linear operators is reviewed in the Mathematical Supplement Chapter 23.