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qm/que/06 023

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  Apply first postulate of quantum mechanics and for each of the of the
   following wave functions  which ones represent wave functions the same state
   as \(\psi(x,t)\)? and which ones represent a different state?

  1. \(\exp(\Lambda(x)) \psi(x)\)
  2. \(\exp(i\Lambda(x)) \psi(x)\)
  3. \(\exp(i\alpha) \psi(x)\)
  4. \(\exp(\alpha) \psi(x)\)

where \(\Lambda(x)\) is a real function of \(x\) and \(\alpha\) is a real constant.


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