Summary
Quasi-classical propagators for a quantum particle moving in the half-spacea≤x<∞ under the influence of an arbitrary potential force (including the oscillator potential as a particular example) are calculated.
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Dodonov, V.V., Klimov, A.B. & Man'ko, V.I. Quasi-classical propagator of a quantum particle in the half-space confined with an ideal reflecting wall. Nuovo Cim B 106, 1417–1426 (1991). https://doi.org/10.1007/BF02728370
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DOI: https://doi.org/10.1007/BF02728370