Physics · Quantum Mechanics
Consider a two-dimensional harmonic oscillator with the potential V(x,y) = 12mω2x2 + 2mω2y2. Evaluate the following statements: Statement I: The first excited state has an energy of 52ℏω and is doubly degenerate. Statement II: The second excited state has an energy of 72ℏω and is non-degenerate. Which of the following options is correct?
- 1Statement I is correct
- 2Statement II is correct
- 3Both statements I and II are correct
- 4Neither statement I nor statement II is correct✓
Correct answer
Neither statement I nor statement II is correct
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