logo-mooc
search-iconsearch-icon
menu-whitemenu-blue
GRATIS
Inicio / Buscador / Ciencia / Mecánicas Cuánticas
NaN vía Swayam
GRATIS

Introductory Quantum Mechanics in Hindi

  • money

    Cursos gratis (Auditar)

    question-mark
  • earth

    Inglés

  • folder

    Siempre Abierto

  • certificate

    Guía de Registro en Swayam

    arrow
VER CURSO arrow
Acerca de este curso

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
  • REVIEW