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- W1936705622 abstract "In this paper we discuss a solution of the free particle Schrodinger equation in which the time and space dependence are not separable. The wavefunction is written as a product of exponential terms, Hermite polynomials and a phase. The peaks in the wavefunction decelerate and then accelerate around t = 0. We analyse this behaviour within both a quantum and a semi-classical regime. We show that the acceleration does not represent true acceleration of the particle but can be related to the envelope function of the allowed classical paths. Comparison with other accelerating wavefunctions is also made. The analysis provides considerable insight into the meaning of the quantum wavefunction." @default.
- W1936705622 created "2016-06-24" @default.
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- W1936705622 date "2014-04-01" @default.
- W1936705622 modified "2023-09-27" @default.
- W1936705622 title "Semiclassical and quantum analysis of a free-particle Hermite wave function" @default.
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- W1936705622 doi "https://doi.org/10.1103/physreva.89.044101" @default.
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