Quantum Mechanical Path Integrals

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


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
$$\lim_{t \rightarrow t^\prime} \psi(x, t)= \psi (x, t^\prime).$$


Path Integral Free Particle Space Path Formal Path Wiener Measure 
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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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