If we write a normalized wave function ψ=A, then φ is also normalized when

Q82 · CSIR-NET Chemistry, June 2016

Paper: CSIR-NET June 2016 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Marks: 2 · Difficulty: Easy

If we write a normalized wave function $\psi=\hat{\mathrm{A}}$, then $\phi$ is also normalized when

(a)$\hat{\mathrm{A}}$ is hermitian

(b)$\hat{\mathrm{A}}$ is anti-hermitian

(c)$\hat{\mathrm{A}}$ is unitary

(d)$\hat{\mathrm{A}}$ is any linear operators

Answer

Answer: C ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation

Unitary operators preserve inner products: ⟨Âφ|Âφ⟩ = ⟨φ|Â†Â|φ⟩ = ⟨φ|φ⟩ = 1.

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