GATE Physics Exam > GATE Physics Videos > Quantum Mechanics for GATE > Lecture 7: Degenerate Perturbation Theory Problem Solving
Lecture 7: Degenerate Perturbation Theory Problem Solving Video Lecture | Quantum Mechanics for GATE - GATE Physics
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FAQs on Lecture 7: Degenerate Perturbation Theory Problem Solving Video Lecture - Quantum Mechanics for GATE - GATE Physics
| 1. How does degenerate perturbation theory differ from non-degenerate perturbation theory? |  |
Ans. Degenerate perturbation theory is used when there are degenerate energy levels, meaning multiple states with the same energy, while non-degenerate perturbation theory is used when all energy levels are non-degenerate.
| 2. How is perturbation theory applied in the context of quantum mechanics? | |
Ans. Perturbation theory is used to calculate corrections to the energy levels and wavefunctions of a quantum system when a small perturbation is added to the Hamiltonian.
| 3. Can you provide an example of a problem that can be solved using degenerate perturbation theory in quantum mechanics? | |
Ans. One common example is the Stark effect, where an external electric field perturbs the energy levels of an atom. Degenerate perturbation theory can be used to calculate the corrections to the energy levels.
| 4. What are the key steps involved in solving problems using degenerate perturbation theory? | |
Ans. The key steps include diagonalizing the perturbation matrix, finding the eigenvalues and eigenvectors, and then calculating the corrections to the energy levels and wavefunctions.
| 5. How does degenerate perturbation theory help in understanding the fine structure of atomic spectra? | |
Ans. Degenerate perturbation theory allows us to account for the interactions between different electron states in an atom, leading to a more accurate prediction of the fine structure of atomic spectra.
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Nov 21, 2024 Last updated |
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