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Quantum Mechanical Path Integrals
2010The fundamental equation of quantum mechanics for a single particle is generally taken to be a Schrodinger 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^
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QUANTUM MECHANICS AND PATH INTEGRALS
Welcome to Quantum Mechanics and Path Integrals, acomprehensive exploration of the principles and applications ofquantum mechanics through the lens of path integral formulation.This book is designed to provide a thorough understanding of boththe theoretical underpinnings and practical applications of thesefascinating topics, catering to students ...openaire +2 more sources
On Using the Quantum Mechanical Path Integral in Quantum Field Theory
Annals of Physics, 1993It is shown how matrix elements of the form \(\langle x| e^{- iHt}| y\rangle\), which arise in closed-form expressions for the generating functional, can be evaluated perturbatively using a path integral encountered in the quantum mechanics of a single particle.
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How to solve path integrals in quantum mechanics
Journal of Mathematical Physics, 1995Grosche Christian
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