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Path integral in a magnetic field using the Trotter product formula

✍ Scribed by Gaveau, B.; Mihóková, E.; Roncadelli, M.; Schulman, L. S.


Book ID
120823497
Publisher
American Institute of Physics
Year
2004
Tongue
English
Weight
319 KB
Volume
72
Category
Article
ISSN
0002-9505

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It is shown how matrix elements of the form \(\left\langle x\left|e^{-i f t}\right| y\right\rangle\), 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. This allows one