Physics · Quantum Mechanics
Consider a system of two non-interacting identical Bosons, each of mass m, in an infinite square well potential of width a (where the potential inside the well is zero and spin is ignored). The composite wavefunction for the system with total energy E = 5π2ℏ22ma2 is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 12a [sin(πx1a) cos(πx2a) + sin(πx2a) cos(πx2a)]
- 22a [sin(πx1a) sin(3πx22a) - sin(3πx12a) sin(πx2a)]
- 32a [sin(πx1a) sin(2πx2a) + sin(2πx1a) sin(πx2a)]✓
- 42a [sin(πx1a) sin(2πx2a) - sin(2πx1a) sin(πx2a)]
Correct answer
2a [sin(πx1a) sin(2πx2a) + sin(2πx1a) sin(πx2a)]
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