Classical particles in quantum mechanics
作者:
George Patsakos,
期刊:
American Journal of Physics
(AIP Available online 1976)
卷期:
Volume 44,
issue 2
页码: 158-166
ISSN:0002-9505
年代: 1976
DOI:10.1119/1.10496
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
An analysis of the change in the concept of a particle required by the passage from classical to quantum theory suggests a ’’classical particle representation’’ for the latter which should allow purely quantum‐mechanical results to be cast into a form suited to interpretation in semiclassical terms. Application of this representation to the examples of the free particle and the particle in a constant force field essentially reproduces the usual arguments as to how classical trajectories can be generated in the quantum theory, although from a somewhat different point of view than that usually presented. Applying the representation to the energy eigenfunctions of the one‐dimensional harmonic oscillator provides an interesting semiclassical interpretation of these functions and their relationship to the quantization rules of the old quantum theory. Some speculations regarding other possible applications of this approach are also presented.
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