Canonical description of quantum dynamics

Abstract

Some of the important non-classical aspects of quantum mechanics can be described in more intuitive terms if they are reformulated in a geometrical picture based on an extension of the classical phase space. This contribution presents various phase-space properties of moments describing a quantum state and its dynamics. An example of a geometrical reformulation of a non-classical quantum effect is given by an equivalence between conditions imposed by uncertainty relations and centrifugal barriers, respectively.

arXiv comment13 pages, two figures

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Cited by in corpus (5)

• Adherence and violation of the equivalence principle from classical to quantum mechanics
• Geometry and proper time of a relativistic quantum clock
• Semiclassical Backreaction: A Qualitative Assessment
• Evolution of the wave-function's shape in a time-dependent harmonic potential
• Quantum Uncertainty as an Intrinsic Clock