The wavefunction Ψ only has a single value at a particular point in space. The wavefunction Ψ can have no imaginary part.  The potential energy of a quantum mechanical harmonic oscillator is a constant that describes its motion.

Modern Physics
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ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter6: Quantum Mechanics In One Dimension
Section: Chapter Questions
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True or False:

  1. The wavefunction Ψ only has a single value at a particular point in space.
  2. The wavefunction Ψ can have no imaginary part. 
  3. The potential energy of a quantum mechanical harmonic oscillator is a constant that describes its motion.
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