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1992•Journal of Physics A Mathematical and GeneralOpen access

New path integral representation of the quantum mechanical propagator

M. Roncadelli

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Abstract

A new path integral representation of the quantum mechanical propagator is proposed, which is even more intimately connected with classical mechanics than the Feynman path integral. The emergence of the semiclassical propagator is discussed in detail. It is argued that those paths which actually contribute in the new path integral have a very simple relation with the classical dynamical trajectories in configuration space.

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A new path integral representation of the quantum mechanical propagator is proposed, which is even more intimately connected with classical mechanics than the Feynman path integral. The emergence of the semiclassical propagator is discussed in detail. It is argued that those paths which actually contribute in the new path integral have a very simple relation with the classical dynamical trajectories in configuration space.

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Available abstract

A new path integral representation of the quantum mechanical propagator is proposed, which is even more intimately connected with classical mechanics than the Feynman path integral. The emergence of the semiclassical propagator is discussed in detail. It is argued that those paths which actually contribute in the new path integral have a very simple relation with the classical dynamical trajectories in configuration space.

Key concepts: Propagator, Path integral formulation, Semiclassical physics, Relation between Schrödinger's equation and the path integral formulation of quantum mechanics, Feynman diagram, Representation (politics), Quantum, Path (computing)

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