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Quantum Physics

Quantum Physics. Instructor: Professor V. Balakrishnan, Department of Physics, IIT Madras. The course covers topics in quantum physics: Heisenberg's uncertainty principle, linear vector spaces, linear operations, Hamiltonian of the system, Schrodinger equation, Hermite polynomials, probability density, eigenvalues and eigenstates of the Hamiltonian, spin, simple harmonic oscillators, properties of spinning particles, orbital angular momentum, Pauli matrices, the energy of the vacuum, and perturbation theory. (from nptel.ac.in)

Lecture 05 - Linear Operations in a Linear Vector Space and Their Eigenvalues


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Lecture 01 - Introduction to Quantum Physics; Heisenberg's Uncertainty Principle
Lecture 02 - Introduction to Linear Vector Spaces
Lecture 03 - Characteristics of Linear Vector Spaces
Lecture 04 - Functions in a Linear Vector Space
Lecture 05 - Linear Operations in a Linear Vector Space and Their Eigenvalues
Lecture 06 - Classical vs Quantum Mechanics
Lecture 07 - Hamiltonian of the System
Lecture 08 - Momentum Eigenvalue
Lecture 09 - Schrodinger Equation
Lecture 10 - Eigenvalues and Eigenstates
Lecture 11 - Ordering Theorem
Lecture 12 - Hermite Polynomials
Lecture 13 - Factorization Method
Lecture 14 - Probability Density
Lecture 15 - 3 Dimensional Scattering Subsequently
Lecture 16 - Eigenvalues and Eigenstates of the Hamiltonian
Lecture 17 - Spin
Lecture 18 - Simple Harmonic Oscillators
Lecture 19 - Properties of Spinning Particles
Lecture 20 - Orbital Angular Momentum
Lecture 21 - Pauli Matrices
Lecture 22 - Generalized Coherent State
Lecture 23 - Hyperfine Splitting
Lecture 24 - Equivalence Class
Lecture 25 - Spinner Representations
Lecture 26 - Pauli Lubanski Vector
Lecture 27 - Application of Quantum Mechanics
Lecture 28 - Degenerate Photon Gas
Lecture 29 - Quantum Mechanics
Lecture 30 - The Energy of the Vacuum
Lecture 31 - Perturbation Theory