A Modern Approach to Quantum Mechanics · Problem 7.16

Path Integrals — John S. Townsend

Physics — Quantum Mechanics · coherent-states-raising-operator-eigenket

Problem

The coherent state ∣α⟩|\alpha\rangle is an eigenket of the lowering operator: a^∣α⟩=α∣α⟩\hat{a}|\alpha\rangle = \alpha|\alpha\rangle Investigate whether it is possible to construct an eigenket of the raising operator a^†\hat{a}^\dagger.

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