Coherent States for General Potentials. 2. Confining One-dimensional Examples
Jun, 197929 pages
Published in:
- Phys.Rev.D 20 (1979) 1332
Report number:
- LA-UR-79-1225
Citations per year
Abstract: (APS)
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 Pöschl-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.- QUANTUM MECHANICS: COHERENT STATE
- QUANTUM MECHANICS: ONE-DIMENSIONAL
- POTENTIAL: CONFINEMENT
- MODEL: OSCILLATOR
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