Physics · Quantum Mechanics
Let x̂ and p̂ denote the position and momentum operators obeying the commutation relation [x̂, p̂] = iℏ. If |x> denotes an eigenstate of x̂ corresponding to the eigenvalue x, then eiap̂/ℏ|x> is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1not an eigenstate of x̂
- 2an eigenstate of x̂ corresponding to the eigenvalue (x + a)
- 3an eigenstate of x̂ corresponding to the eigenvalue (x - a)✓
- 4an eigenstate of x̂ corresponding to the eigenvalue x
Correct answer
an eigenstate of x̂ corresponding to the eigenvalue (x - a)
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