GATE Physics Exam > GATE Physics Videos > Quantum Mechanics for GATE > Lecture 3: Non Degenerate Perturbation Harmonic Oscillator Problem Solving
Lecture 3: Non Degenerate Perturbation Harmonic Oscillator Problem Solving Video Lecture | Quantum Mechanics for GATE - GATE Physics
FAQs on Lecture 3: Non Degenerate Perturbation Harmonic Oscillator Problem Solving Video Lecture - Quantum Mechanics for GATE - GATE Physics
| 1. What is the non-degenerate perturbation harmonic oscillator in quantum mechanics? |  |
Ans. The non-degenerate perturbation harmonic oscillator refers to a perturbation in the harmonic oscillator system where the perturbing energy levels are distinct and non-degenerate.
| 2. How is the non-degenerate perturbation harmonic oscillator different from the degenerate case? | |
Ans. In the non-degenerate case, the perturbing energy levels are distinct and do not overlap, whereas in the degenerate case, the energy levels are degenerate and may overlap.
| 3. How is perturbation theory used to solve problems in the non-degenerate perturbation harmonic oscillator system? | |
Ans. Perturbation theory is used to find approximate solutions to the Schrödinger equation by treating the perturbation as a small correction to the original system and expanding the wave function in a series of corrections.
| 4. What are the key steps in solving for the perturbed energy levels in the non-degenerate perturbation harmonic oscillator system? | |
Ans. The key steps include finding the first-order correction to the energy levels, determining the perturbed wave function, and calculating the second-order correction to the energy levels.
| 5. How does the perturbation affect the eigenstates of the harmonic oscillator system in the non-degenerate case? | |
Ans. The perturbation causes mixing of the unperturbed eigenstates, resulting in the formation of new eigenstates that are linear combinations of the original states with modified energies.
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