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Автор Rafael Ferraro
Дата выпуска 1999-04-02
dc.description The canonical functional action in the path integral in phase space is discretized by linking each pair of consecutive vertebral points - and or and - through the invariant complete solution of the Hamilton-Jacobi equation associated with the classical path defined by these extremes. When the measure is chosen to reflect the geometrical character of the propagator (it must behave as a density of weight in both of its arguments), the resulting infinitesimal propagator is cast in the form of an expansion in a basis of short-time solutions of the wave equation, associated with the eigenfunctions of the initial momenta canonically conjugated to a set of normal coordinates. The operator ordering induced by this prescription is a combination of a symmetrization rule coming from the phase, and a derivative term coming from the measure.
Формат application.pdf
Издатель Institute of Physics Publishing
Название The Jacobi principal function in quantum mechanics
Тип paper
DOI 10.1088/0305-4470/32/13/010
Print ISSN 0305-4470
Журнал Journal of Physics A: Mathematical and General
Том 32
Первая страница 2589
Последняя страница 2599
Аффилиация Rafael Ferraro; Instituto de Astronomía y Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina; Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
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