Search results

Sort By:

Limit search:

Ehrenfest Theorem for the Hamilton-Jacobi Equation

100%

Kocis L.

Acta Physica Polonica A

2002

vol. 102

issue 6

709-716

A possible way from quantum mechanics to classical mechanics can be achieved with an exponential substitution used in the Schrödinger equation, and then considering the classical limit. This gives a picture of classical fluid and an ensemble of classical trajectories. In difference from this approach to the classical limit, while utilising the same substitution, we assume a minimum uncertainty wave packet. It is shown that this approach to the classical limit of quantum mechanics yields a single trajectory traced by the centroid of the minimum uncertainty wave packet. The momentum and the centroid of such packet satisfy the classical Hamilton-Jacobi equation.

Motion of a Localised Klein-Gordon Field

100%

Kocis L.

Acta Physica Polonica A

2002

vol. 101

issue 2

213-229

Definitions of the momentum density, energy density, and densities of some other physical quantities are added to the standard Klein-Gordon theory. The densities introduced allow calculation of momentum and energy and their uncertainties of a localised Klein-Gordon field. It is shown that at certain conditions the momentum, energy, and potential energy of a localised Klein-Gordon field satisfy the relativistic Hamilton-Jacobi equation.

Refine search results

2 Acta Physica Polonica A

2 2002

2 Kocis L.

Search results

Ehrenfest Theorem for the Hamilton-Jacobi Equation

Motion of a Localised Klein-Gordon Field