Related papers: Quantum Principle of Least Action in Dynamic Theories With Higher Derivatives

Quantum Principle of Least Action in Dynamic Theories With Higher Derivatives

URL: http://arxiv.org/abs/2404.09608v1
Date: Mon, 15 Apr 2024 09:29:58 GMT
Title: Quantum Principle of Least Action in Dynamic Theories With Higher Derivatives
Authors: Natalia Gorobey, Alexander Lukyanenko, A. V. Goltsev,
Abstract summary: This form is the initial point for the construction of quantum theory. The correspondence between the new form of quantum theory and "ordinary" quantum mechanics has been established in the local limit.
Score: 44.99833362998488
License: http://creativecommons.org/licenses/by/4.0/
Abstract: A generalized canonical form of action of dynamic theories with higher derivatives is proposed, which does not require the introduction of additional dynamic variables. This form is the initial point for the construction of quantum theory, in which the state of motion of the system is described by the wave functional on its trajectories in the configuration space, and the functional itself is an eigenvector of the action operator. The Pais-Uhlenbeck oscillator is considered as the simplest model. For this case, the correspondence between the new form of quantum theory and "ordinary" quantum mechanics has been established in the local limit, when the Pais-Uhlenbeck oscillator is reduced to the "ordinary" harmonic oscillator.

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