Application of a Quantum Action Principle to a Quantum Oscillator

Michael Thoss, Berthold‐Georg Englert

Paul Bracken

Natalya Gorobey, Alexander S. Lukyanenko

A quantum version of the action principle is formulated in terms of real parameters of a wave functional. The classical limit of the quantum action of a harmonic oscillator is obtained.

C. A.M. [UNESP] de Melo, B. M. Pimentel, J. A. [UNESP] Ramirez

The Schwinger quantum action principle is a dynamic characterization of the transformation functions and is based on the algebraic structure derived from the kinematic analysis of the measurement processes at the quantum level. As such, this variational principle, allows to derive the canonical commutation relations in a consistent way. Moreover, the dynamic pictures of Schrödinger, Heisenberg and a quantum Hamilton-Jacobi equation can be derived from it. We will implement this formalism by solving simple systems such as the free particle, the quantum harmonic oscillator and the quantum forced harmonic oscillator©by the Sociedade Brasileira de Física. Printed in Brazil.

Roy J. Glauber