Eigenvalue, Eigenvector & Operators in Quantum Mechanics | Momentum, Energy & Expectation Value

Описание: In this lecture, we discuss one of the most fundamental concepts of Quantum Mechanics — Eigenvalue, Eigenvector, Operators, and Expectation Value, explained step by step in a simple and intuitive way.
🔹 What you will learn in this video:
✔ What is an Eigenvalue equation and Eigenvector equation in Quantum Mechanics
✔ Difference between a variable and an operator
✔ How to identify which quantity is an eigenvalue and which is an eigenvector
✔ Eigenvalue problem explained using a matrix example
✔ Concept of operators in Quantum Mechanics
✔ Plane wave solution and its physical meaning
✔ Derivation of momentum operator using plane wave
✔ Derivation of energy operator
✔ Physical meaning of energy and momentum operators
✔ Concept of Expectation Value and its interpretation
This lecture is very useful for: 🎓 BSc / MSc Physics students
🎓 Engineering Physics students
🎓 Competitive exams (GATE, JAM, NET – basics)
🎓 Anyone starting Quantum Mechanics
The explanation is conceptual, mathematical, and exam-oriented, making it ideal for both understanding and revision.
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