The unitary transformation of the path-integral measure

Details The unitary transformation of the path-integral measure The unitary transformation of the path-integral measure

1995-07-06

arxiv.org/abs/quant-ph/9507003v1

Physics

Quantum Physics

14 pages in LaTeX, no figures

Scientific paper

The aim of the article is to show how a coordinate transformation can be applied to the path-integral formalism. For this purpose the unitary definition of the quantum measure, which guarantees the conservation of total probability, is offered. As the examples, the phase space transformation to the canonically conjugate pare $(energy, time)$ and the transformation to the cylindrical coordinates are shown. The transformations of the path-integral measure looks classically but they can not be deduced from naive transformations of quantum trajectories.

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