GATE Physics Exam > GATE Physics Videos > Quantum Mechanics for GATE > Lecture 1: Quantum Mechanics | Non Degenerate Perturbation
Lecture 1: Quantum Mechanics | Non Degenerate Perturbation Video Lecture | Quantum Mechanics for GATE - GATE Physics
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| 1. What is non-degenerate perturbation theory in quantum mechanics? |  |
Ans. Non-degenerate perturbation theory is a method used in quantum mechanics to calculate the energy levels and wave functions of a system when a small perturbation is added to the Hamiltonian. It is called non-degenerate when the unperturbed energy levels are distinct.
| 2. How is non-degenerate perturbation theory different from degenerate perturbation theory? | |
Ans. Non-degenerate perturbation theory deals with systems where the unperturbed energy levels are distinct, while degenerate perturbation theory is used when the unperturbed energy levels are degenerate, meaning they are not distinct.
| 3. What is the perturbation term in non-degenerate perturbation theory? | |
Ans. The perturbation term in non-degenerate perturbation theory is the additional term added to the Hamiltonian of a system to account for small changes in the system. It is usually a small correction to the original Hamiltonian.
| 4. How do we calculate the first-order correction to the energy in non-degenerate perturbation theory? | |
Ans. The first-order correction to the energy in non-degenerate perturbation theory is calculated by finding the matrix element of the perturbation term between the unperturbed wave functions, and then multiplying it by the matrix element of the perturbation term divided by the energy difference between the unperturbed states.
| 5. Can non-degenerate perturbation theory be applied to systems with degenerate energy levels? | |
Ans. No, non-degenerate perturbation theory is specifically designed to handle systems where the unperturbed energy levels are distinct. For systems with degenerate energy levels, degenerate perturbation theory should be used instead.
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