Consider a two-dimensional harmonic oscillator with potential energy V(x, y) = 1/2kx x² + 1/2ky y² If ψnx(x)… · ABC26PH0147

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Harmonic Oscillator · Exam: CSIR NET 2013 · Marks: 2 · Difficulty: Medium

Consider a two-dimensional harmonic oscillator with potential energy
$V(x, y) = \frac{1}{2}k_x x^2 + \frac{1}{2}k_y y^2$
If $\psi_{nx}(x)$ and $\psi_{ny}(y)$ are the eigensolutions and $E_{nx}$ and $E_{ny}$ are the eigenvalues of harmonic oscillator problem in x and y direction with potential $\frac{1}{2}k_x x^2$ and $\frac{1}{2}k_y y^2$ respectively, the wave function and eigenvalues of the above two-dimensional harmonic oscillator problem are
(a)$\psi_{nx,ny} = \psi_{nx}(x) + \psi_{ny}(y)$, $E_{nx,ny} = E_{nx} + E_{ny}$
Answer
Answer (as printed): C
Explanation
No explanation was printed for this question.

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