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Quantum Mechanics

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Overview

This course on Quantum Mechanics aims to introduce learners to the fundamental concepts and principles of quantum physics. By the end of the course, students will be able to understand the postulates of quantum mechanics, the failure of classical theories, and key experiments such as the photoelectric effect and Compton's effect. They will also learn about important topics like the Heisenberg uncertainty principle, wave functions, operators, observables, and the Schrödinger equation. The course teaches skills such as analyzing wave functions, calculating expectation values, and interpreting probability current density. The teaching method includes lectures on theoretical concepts, demonstrations of experiments, and problem-solving sessions. This course is designed for students pursuing B.Sc or M.Sc in Physics, as well as those preparing for exams like NET-JRF, GATE, UPSC, and JAM in the field of physics.

Syllabus

LEC - 1 Introduction to the quantum physics.
LEC-2 Postulates of Quantum mechanics.
LEC - 3 Failure of classical (EM) theory.
LEC - 4 Photoelectric effect.
LEC - 4(2nd) Einstein photoelectric equation.
LEC-5 Inadequacy of old quantum theory.
LEC - 6 Compton's effect.
LEC- 8 De Broglie hypothesis.
LEC-9 Davisson Germer experiment.
LEC-10 Group velocity and phase velocity.
LEC-10(2nd) Phase velocity and group velocity 2.
LEC-11 Heisenberg uncertainty principle.
LEC -12 Uncertainty principle from De Broglie wave.
LEC - 13 Schrödinger Time Dependent Equation || Quantum Mechanics || B. Sc / M. Sc Physics.
LEC-14 Wave function.
LEC - 15 Significance of wave function.
LEC-15(2nd) Characteristics of wave function.
LEC-16 Normalisation of wave function part 1.
LEC-16(2nd) Normalisation of wave function part 2.
LEC-17 Operators and observables.
LEC-18 Schrodinger time independent equation.
LEC-19 Expectation value.
LEC-20 Probability current density.
LEC-21 The Ehrenfest Theorem.
LEC-22 The Ehrenfest Theorem 2.
LEC-23 THE BLACK BODY.
LEC-24 THE BLACK BODY RADIATIONS.
LEC-25 RAYLEIGH JEANS LAW 'ULTRAVIOLET CATASTROPHE'.
LEC-26 PLANCK'S LAW FOR BLACK BODY RADIATIONS.
LEC-27 DERIVATION OF PLANCK'S LAW.
LEC-30 Potential Step.
LEC -31 Potential Step (continue).
LEC-33 Potential well / Particle in a box.
LEC-34 Potential well/ particle in a box part 2.
LEC -35 The Potential Barrier.
LEC-36 The Potential Barrier 2.
LEC-37 The Potential Barrier (Quantum Tunnelling).
LEC -38 Potential Barrier(Quantum Tunneling).
LEC- 39 The Harmonic Oscillator.
LEC- 40 The Harmonic Oscillator 2.
LEC- 41 The Harmonic Oscillator 3.
LEC-42 Wave Functions For The Harmonic Oscillator.
LEC-43 INTRODUCTION TO LINEAR VECTOR SPACES.
LEC-44 LINEAR VECTOR SPACES.
LEC-45 INNER PRODUCT OF VECTORS 2.
LEC-44 INNER PRODUCT OF VECTORS.
LEC-45 BASIS VECTORS, SUBSPACE OF VECTOR SPACE.

Taught by

SANJU PHYSICS

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