Physics · Quantum Mechanics
Consider a system of three non-interacting identical bosons confined in a 1D infinite potential well of length L (from x = 0 to x = L). The ground state energy and ground state wave function for this system are respectively:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 13ℏ2π2mL2; √(8L3) cos(πx1L) cos(πx2L) cos(πx3L)
- 2ℏ2π22mL2; √(8L3) cos(πx1L) cos(πx2L) cos(πx3L)
- 3ℏ2π22mL2; √(8L3) sin(πx1L) sin(πx2L) sin(πx3L)
- 43ℏ2π22mL2; √(8L3) sin(πx1L) sin(πx2L) sin(πx3L)✓
Correct answer
3ℏ2π22mL2; √(8L3) sin(πx1L) sin(πx2L) sin(πx3L)
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