4AB › Chemistry PYQ › CSIR-NET › December 2012 › Q95Q95 · CSIR-NET Chemistry, December 2012 Paper: CSIR-NET December 2012 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Marks: 2 · Difficulty: Medium
Combining two real wave functions $\phi_{1}$ and $\phi_{2}$ the following functions are constructed: \[ \mathrm{A}=\phi_{1}+\phi_{2}, \mathrm{B}=\phi_{1}+\mathrm{i} \phi_{2}, \mathrm{C}=\phi_{1}-\mathrm{i} \phi_{2}, \mathrm{D}=\mathrm{i}\left(\phi_{1}+\phi_{2}\right) \]
The correct statement will then be (a) A and B represent the same state
(b) A and C represent the same state
(c) A and D represents the same state
(d) B and D represent the same state
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 D = i·A differs from A only by an overall phase factor, so they describe the same state; B and C have different relative phases and are different states.
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