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Quantum Mechanical Path Integrals

  • John R. Klauder
Chapter
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

The fundamental equation of quantum mechanics for a single particle is generally taken to be a Schrödinger equation of the form
$$i\hbar\frac{\partial}{\partial t}\psi(x, t) =\left[-\frac{{\hbar}^{2}}{2m} \frac{{\partial}^{2}}{{\partial}{x}^{2}}+{V (x, t)}\right] \psi(x, t),$$
subject to some initial condition such as
$$\lim_{t \rightarrow t^\prime} \psi(x, t)= \psi (x, t^\prime).$$

Keywords

Path Integral Free Particle Space Path Formal Path Wiener Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2011

Authors and Affiliations

  1. 1.Department of Physics and Department of MathematicsUniversity of FloridaGainesvilleUSA

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