Universität zu Köln

Brizuela, David (2014). Classical and quantum behavior of the harmonic and the quartic oscillators. Phys. Rev. D, 90 (12). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2368

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Abstract

In a previous paper a formalism to analyze the dynamical evolution of classical and quantum probability distributions in terms of their moments was presented. Here the application of this formalism to the system of a particle moving on a potential is considered in order to derive physical implications about the classical limit of a quantum system. The complete set of harmonic potentials is considered, which includes the particle under a uniform force, as well as the harmonic and the inverse harmonic oscillators. In addition, as an example of anharmonic system, the pure quartic oscillator is analyzed. Classical and quantum moments corresponding to stationary states of these systems are analytically obtained without solving any differential equation. Finally, dynamical states are also considered in order to study the differences between their classical and quantum evolution.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Brizuela, David UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-420111
DOI:	10.1103/PhysRevD.90.125018
Journal or Publication Title:	Phys. Rev. D
Volume:	90
Number:	12
Date:	2014
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1550-2368
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ANHARMONIC-OSCILLATORS; LARGE-ORDER; SYSTEMS; TRANSITION; EQUATIONS Multiple languages Astronomy & Astrophysics; Physics, Particles & Fields Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/42011