Physics · Quantum Mechanics
A system consists of two non-interacting identical spin 12 particles. The spatial wave functions for the individual particles are given by φ1(x) and φ2(x). Let x1 and x2 denote the positions of the particles respectively. The total wave function of the system (not necessarily normalized) can be:
- 1[φ1(x1)φ2(x2) - φ2(x1)φ1(x2)][|↑>1|↓>2 - |↓>1|↑>2]
- 2φ1(x1)φ2(x2)|↑>1|↑>2
- 3[φ1(x1)φ1(x2) + φ2(x1)φ2(x2)]|↑>1|↑>2
- 4[φ1(x1)φ2(x2) - φ2(x1)φ1(x2)][|↑>1|↓>2 + |↓>1|↑>2]✓
Correct answer
[φ1(x1)φ2(x2) - φ2(x1)φ1(x2)][|↑>1|↓>2 + |↓>1|↑>2]
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