Abstract
Consider a non-relativistic spinless particle of mass m moving under the influence of a potential energy V (r, t). Its state at any time t is fully determined by a complex wavefunciton φ(r, t); the quantity |φ(r, t)|2d3 r gives the the probability of finding the particle at time t in the infinitesimal volume d3 r around the point r, provided that φ (r, t) has been normalized so that \( \int _V |\phi ({\textit{\textbf r}}, t) |^2 {\rm d}^3 r = 1\)
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Further Reading
R. Eisberg, R. Resnick, Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles, J. Wiley, New York, 1974 [Q23].
J.J. Sakurai, Modern Quantum Mechanics, Addison–Wesley, Reading,MA, 1994 [Q24].
L.D. Landau, E.M. Lifshitz, Quantum Mechanics, Pergamon Press, 3rd ed., Oxford, 1977 [Q25].
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Economou, E.N. (2010). Elements of Quantum Mechanics. In: The Physics of Solids. Graduate Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02069-8_25
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DOI: https://doi.org/10.1007/978-3-642-02069-8_25
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