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- W2178738224 abstract "In this thesis we are investigating a different formalism of non-relativistic quantum mechanics called the path integral formalism. It is a generalization of the classical least action principle. The introduction to this subject begins with the construction of the path integral in terms of the idea of probability amplitudes whose absolute square gives the probability of finding a system in a particular state. Then we show that if the Lagrangian is a quadratic form one needs only to calculate the classical action besides from a time-dependent normalization constant to find the explicit expression of the path integral. We look in to the subject of two kinds of slit-experiments: The square slit, the single- and the double-Gaussian slit. Also, the propagator for constrained paths is calculated and applied to the Aharonov-Bohm effect, which shows that the vector potential defined in classical electrodynamics have a physical meaning in quantum mechanics. It is also shown that the path integral formulation is equivalent to the Schrodinger description of quantum mechanics, by deriving the Schrodinger equation from the path integral. Further applications of the path integral are discussed." @default.
- W2178738224 created "2016-06-24" @default.
- W2178738224 creator A5077107541 @default.
- W2178738224 date "2019-06-03" @default.
- W2178738224 modified "2023-09-26" @default.
- W2178738224 title "9. Path integrals and quantum mechanics" @default.
- W2178738224 doi "https://doi.org/10.1515/9783110648522-009" @default.
- W2178738224 hasPublicationYear "2019" @default.
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