Abstract
A general semi-classical description for the eigenfunctions of the multidimensional Schroedinger operator cannot be based on the WKB method which is incompatible with classically ergodic behavior. An alternative, more general multiplicative parametrization of quantum wave functions is suggested, whereby the semi-classical behavior of eigenfunctions can be traced in the presence of classical ergodicity, in the form of diffusive patterns of phase-space zeros in the quantum wave functions. (author) 24 refs.; 4 figs.
Voros, A;
[1]
Leboeuf, P
[2]
- CEA Centre d`Etudes de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique
- Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
Citation Formats
Voros, A, and Leboeuf, P.
Multiplicative formulation of quantum mechanics. A new setting for semi-classical analysis.
France: N. p.,
1991.
Web.
Voros, A, & Leboeuf, P.
Multiplicative formulation of quantum mechanics. A new setting for semi-classical analysis.
France.
Voros, A, and Leboeuf, P.
1991.
"Multiplicative formulation of quantum mechanics. A new setting for semi-classical analysis."
France.
@misc{etde_10136878,
title = {Multiplicative formulation of quantum mechanics. A new setting for semi-classical analysis}
author = {Voros, A, and Leboeuf, P}
abstractNote = {A general semi-classical description for the eigenfunctions of the multidimensional Schroedinger operator cannot be based on the WKB method which is incompatible with classically ergodic behavior. An alternative, more general multiplicative parametrization of quantum wave functions is suggested, whereby the semi-classical behavior of eigenfunctions can be traced in the presence of classical ergodicity, in the form of diffusive patterns of phase-space zeros in the quantum wave functions. (author) 24 refs.; 4 figs.}
place = {France}
year = {1991}
month = {Dec}
}
title = {Multiplicative formulation of quantum mechanics. A new setting for semi-classical analysis}
author = {Voros, A, and Leboeuf, P}
abstractNote = {A general semi-classical description for the eigenfunctions of the multidimensional Schroedinger operator cannot be based on the WKB method which is incompatible with classically ergodic behavior. An alternative, more general multiplicative parametrization of quantum wave functions is suggested, whereby the semi-classical behavior of eigenfunctions can be traced in the presence of classical ergodicity, in the form of diffusive patterns of phase-space zeros in the quantum wave functions. (author) 24 refs.; 4 figs.}
place = {France}
year = {1991}
month = {Dec}
}