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Variational Principle Video Lecture | CSIR NET Crash Course for Physical Science - CSIR NET Physical Science
FAQs on Variational Principle Video Lecture - CSIR NET Crash Course for Physical Science - CSIR NET Physical Science
| 1. What is the variational principle in the context of physical science? |  |
Ans. The variational principle in physical science states that the true solution to a physical problem minimizes or maximizes a certain functional, known as the action, which represents the physical quantity of interest.
| 2. How is the variational principle used in physics to find the equations of motion? | |
Ans. In physics, the variational principle is used to derive the equations of motion for a system by considering all possible paths that the system could take and then determining which path minimizes or maximizes the action integral.
| 3. Can the variational principle be applied to quantum mechanics? | |
Ans. Yes, the variational principle can be applied to quantum mechanics to find approximate solutions to the Schrödinger equation for complex systems where an exact solution is not feasible.
| 4. What is the significance of the variational principle in computational physics? | |
Ans. In computational physics, the variational principle is used to develop numerical methods for solving complex physical problems by approximating the true solution through trial functions that minimize the action.
| 5. How does the variational principle relate to the principle of least action in classical mechanics? | |
Ans. The variational principle is closely related to the principle of least action in classical mechanics, where both principles state that the true path taken by a system is the one that minimizes the action integral, representing the total energy of the system.
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