Coherent states for general potentials. II. Confining one-dimensional examples

Journal Article · Sat Sep 15 00:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.1332· OSTI ID:5880238

Nieto, M M; Simmons, Jr, L M

We apply our minimum-uncertainty coherent-states formalism, which is physically motivated by the classical motion, to two confining one-dimensional systems: the harmonic oscillator with centripetal barrier and the symmetric Poeschl-Teller potentials. The minimum-uncertainty coherent states are discussed in great detail, and the connections to annihilation-operator coherent states and displacement-operator coherent states are given. The first system discussed provides an excellent bridge between the harmonic oscillator and more general potentials because, even though it is a nonharmonic potential, its energy eigenvalues are equally spaced. Thus, its coherent states have many, but not all, of the properties of the harmonic-oscillator coherent states.

• Research Organization: Theoretical Division, Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico 87545
• OSTI ID: 5880238
• Journal Information: Phys. Rev., D; (United States), Vol. 20:6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HARMONIC OSCILLATORS
EIGENSTATES
ANNIHILATION
CLASSICAL MECHANICS
EIGENVALUES
EQUATIONS OF MOTION
HAMILTONIANS
ONE-DIMENSIONAL CALCULATIONS
POTENTIAL ENERGY
UNCERTAINTY PRINCIPLE
BASIC INTERACTIONS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC INTERACTIONS
ENERGY
EQUATIONS
INTERACTIONS
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM OPERATORS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics