GENERALIZED COHERENT STATES AND THE UNCERTAINTY PRINCIPLE
19824 pages
Published in:
- Phys.Rev.D 25 (1982) 3413-3416
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Abstract: (APS)
We derive from a dynamical symmetry property that the linear and nonlinear Schrödinger equations with harmonic potential possess an infinite string of shape-preserving coherent wave-packet states with classical motion. Unlike the Schrödinger state with ΔxΔp=ℏ2, the uncertainty product can be arbitrarily large for these states showing that classical motion is not necessarily linked with minimum uncertainty. We obtain a generalization of Sudarshan's diagonal coherent-state representation in terms of these states.- QUANTUM MECHANICS: COHERENT STATE
- MODEL: OSCILLATOR
- QUANTUM MECHANICS: ENERGY EIGENSTATE
- ENERGY LEVELS
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