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# Introductory Quantum Mechanics in Hindi

### Overview

About the course :This is the first course in Quantum Mechanics. The focus of the course is going to be the ideas behind quantum mechanics and its application to simple systems. The course is taught along the lines of development of quantum mechanics so that students get a good feeling about the subject.Intended Audience :Physics, Chemistry and Engineering studentsPrerequisites :Basic courses in Calculus, Differential Equations, Mechanics, ElectromagnetismIndustries Support :Content Will be updated soon

### Syllabus

Week 1
• Black-body radiation and its spectral energy density; black body as a cavity, energy density inside a cavity, radiation pressure
• Stefan-Boltzmann law, Wien’s displacement law, Wien’s formula for spectral density
• Relation between energy density and average oscillator energy, quantum hypothesis for oscillators and resulting spectral density
• More on quantizitaion concept – specific heat of insulators; photoelectric effect
• Spectrum of hydrogen atom and Bohr model
• Wilson-Sommerfeld quantization condition and application to particle in a box and harmonic oscillator
Week 2
• Application of Wilson-Sommerfeld quantization conditions to atoms-I
• Application of Wilson-Sommerfeld quantization conditions to atoms-II and quantum numbers
• Periodic Table and electron spin
• Interaction of light with matter- Einstein’s A and B coefficients
• Life-time of an excited-state, LASERS
• Towards quantum-mechanics: The correspondence principle
Week 3
• The correspondence principle and selection rules
• Heisenberg’s formulation of quantum-mechanics I: The variables as matrix elements I
• Heisenberg’s formulation of quantum-mechanics II: The quantum condition
• Heisenberg’s formulation of quantum-mechanics III: Solution for harmonic oscillator
• Matrix mechanics – general discussion
• Matrix mechanics – general discussion
Week 4
• Introduction to waves and wave equation
• Stationary waves and eigenvalues; time-dependence of a general displecement
• de Broglie waves and their experimental verification
• Representation of a particle as a wavepacket
• Time-independent Schrödinger equation; properties of its solutions. Solution for
• Solution of Schrodinger equation for particle in a harmonic potential
Week 5
• Equivalence of Heisenberg and Schrödinger formulation-I
• Equivalence of Heisenberg and Schrödinger formulation-II
• Born-interpretation of wavefunction and expectation values
• The uncertainty principle and simple applications
• Time-depepndent Schrödinger equation and current density
• Comparison with Newton’s equations: Ehrenfest’s theorems
Week 6
• Examples of solution of one-dimensional Schrödinger equation – Particle in one and two delta function potentials
• Solution of one-dimensional Schrödinger equation for particle in a finite well
• Numerical solution of one-dimensional Schrödinger equation for bound-states-I
• Numerical solution of one-dimensional Schrödinger equation for bound-states-II
• Reflection and transmission of particles across a potential barrier
• Quantum-tunneling and its examples
Week 7
• Solution of Schrödinger equation for free particles and periodic boundary conditions
• Electrons in a metal: Density of states, Fermi energy
• Schrödinger equation for particles in spherically symmetric potentials, angular momentum operator
• Angular momentum operator and its eigenfucntions
• Equation for the radial component of wavefunction for spherically symmetric potentials and general properties of its solution
• Solution for the radial component of wavefunction for the hydrogen atom
Week 8
• Numerical solution for the radial component of wavefunction for spherically symmetric potentials
• Solution of Schrodinger equation for one-dimensional periodic potential: Bloch’s theorem
• Kroning-Penny model and energy bands
• Kroning-Penny model and energy bands
• Numerical calculation of bands
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### Taught by

Prof. Manoj Harbola

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