Exact propagator for the one-dimensional time-dependent quadratic Lagrangian (Q1094725)
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scientific article; zbMATH DE number 4026411
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact propagator for the one-dimensional time-dependent quadratic Lagrangian |
scientific article; zbMATH DE number 4026411 |
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Exact propagator for the one-dimensional time-dependent quadratic Lagrangian (English)
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1987
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Extending Montroll's method [\textit{E. W. Montroll}, Commun. Pure Appl. Math. 5, 415-453 (1952; Zbl 0048.363)] to the one-dimensional time- dependent quadratic Lagrangian, we first evaluate the propagator beyond caustics by including Maslov's correction factor. The propagator at caustics is then obtained by introducing the modified semigroup property. Finally, the wave functions are derived from the propagator obtained.
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Montroll's method
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one-dimensional time-dependent quadratic Lagrangian
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caustics
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Maslov's correction factor
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0.7409355640411377
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0.7373586297035217
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