Coherent states for general potentials. III. Nonconfining one-dimensional examples

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

DOI:https://doi.org/10.1103/PhysRevD.20.1342· OSTI ID:5769893

Nieto, M M; Simmons, Jr, L M

We apply our minimum-uncertainty coherent-states (MUCS) formalism to two one-dimensional systems that have continua: the symmetric Rosen-Morse potential and the Morse potential. The coherent states are discussed analytically in great detail, and the connections to annihilation-operator and displacement-operator coherent states are given. For the Rosen-Morse system the existence of a continuum does not prevent one from obtaining the coherent states in analytic, closed form. The Morse system, with its energy-dependent natural classical variable X/sub c/, has a natural quantum operator X which is Hamiltonian-dependent. This Hamiltonian dependence is complicated and prevents an easy analytic solution for the MUCS. However, approximate MUCS can be obtained by analytic approximation techniques.

• Research Organization: Theoretical Division, Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico 87545
• DOE Contract Number: NONE
• OSTI ID: 5769893
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
CLASSICAL MECHANICS
DIFFERENTIAL EQUATIONS
EIGENSTATES
ENERGY
ENERGY DEPENDENCE
EQUATIONS
EQUATIONS OF MOTION
HAMILTONIANS
HARMONIC OSCILLATORS
MATHEMATICAL OPERATORS
MECHANICS
ONE-DIMENSIONAL CALCULATIONS
POTENTIAL ENERGY
QUANTUM OPERATORS
TIME DEPENDENCE
UNCERTAINTY PRINCIPLE