Algebraic Approach to the Morse Potential and its Coherent States
Shi‐Hai Dong
Abstract
Shi‐Hai Dong
Abstract
A realization of the ladder operators for the 1D Morse potential is presented. These operators satisfy the SU(2) group. The case of anisotropic 3D Morse potential is also discussed if it can be regarded as three 1D Morse potential. The average values of some observables in the coherent states are also calculated.
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A realization of the ladder operators for the 1D Morse potential is presented. These operators satisfy the SU(2) group. The case of anisotropic 3D Morse potential is also discussed if it can be regarded as three 1D Morse potential. The average values of some observables in the coherent states are also calculated.
Key concepts: Morse code, Morse potential, Observable, Coherent states, Realization (probability), Discrete Morse theory, Circle-valued Morse theory, Algebraic number