S-13 Problem on expectation value#quantumphysics #quantumchemistry #shorts #csirnet #jest #gate2025

The expectation value calculation for a Dirac delta potential is a very important topic in quantum mechanics, especially for competitive exams like JEST, CSIR-NET, and GATE, as well as for MSc level physics. In this concept, the delta potential represents a highly localized interaction concentrated at a single point in space. While calculating the expectation value of the potential energy, we usually integrate over the entire space, but because of the special property of the delta function, the result depends only on the value of the wavefunction at the location of the potential. For an attractive delta potential, there exists only one bound state, and the corresponding wavefunction decreases exponentially away from the center. The expectation value of the potential energy is negative, confirming the bound nature of the state, and it has a simple relationship with the total energy of the system. This topic is conceptually important because it connects operator formalism, bound state solutions, normalization, and physical interpretation in a very elegant way. Mastering this concept helps in solving conceptual and numerical problems frequently asked in entrance and eligibility examinations.

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Видео S-13 Problem on expectation value#quantumphysics #quantumchemistry #shorts #csirnet #jest #gate2025 канала Quantum Edge