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Submitted by kapoor on Tue, 08/14/2018 - 14:36

 

Mathematical Physics Areas / Topics 

  1. A Course in Basic Set Theory
  2. A Quick Review of Matrices
  3. Vector Spaces
  4. Representations of Finite Groups
  5. Complex Variables
  6. Ordinary Differential Equations
  7. Partial Differential Equations
  8. Fourier Series and Fourier Transform
  9. Green Functions
  10. Real Number System
  11. Calculus
  12. Vector Calculus
  13. Orthogonal Polynomials
  14. Bessel Functions
  15. Spherical harmonics
  1. Mathematical Physics    
  2. Classical Mechanics     
  3. Electromagnetic Theory 
  4. Quantum Mechanics     
  5. Statistical Mechanics    
  6. Nuclear Physics          
  7. Quantum Field Theory 
  8. Lie Groups and Lie Algebras
  9. Gravitation and Cosmology  
  10. Elementary Particle Physics 
  11. Quantum Computation       
  1. Mechanics
  2. Electricity and Magnetism
  3. Wave and Oscillations
  4. Thermodyanmics
  5. Quantum Physics
  6. Special Relativity

 

Mathematical Physics

  1. A Course in Basic Set Theory
  2. A Quick Review of Matrices
  3. Vector Spaces
  4. Finite Groups and Their Representations
  5. Complex Variables
  6. Ordinary Differential Equations
  7. Partial Differential Equations
  8. Fourier Series and Fourier Transform
  9. Green Functions
  10. Real Number System
  11. Calculus
  12. Vector Calculus
  13. Orthogonal Polynomials
  14. Bessel Functions
  15. Spherical harmonics

Classical Mechanics

  1. Topics in Newtonian Mechanics
  2. Lagrangian Formalism
  3. Action Principle
  4. Hamiltonian Form of Dynamics
  5. Spherically Symmetric Potentials
  6. Scattering
  7. Small Oscillations
  8. Gallilean Transformations, Non inertial Frames
  9. Rigid Body Dynamics
  10. Canonical Transformations
  11. Hamilton Jacobi Theory

Electromagnetic Theory

  1. Electric and Magnetic Force between charges and currents
  2. Electrostatics
  3. Electric Potential and Electrostatic Energy
  4. Conductors in Electric field
  5. Dielectric in Electric Fields
  6. Boundary Value Problems in Electrostatics
  7. Magnetic Field
  8. Maxwell's Equations in Presence of Magnetic Media       
  9. Electromagnetic Induction
  10. Maxwell's Equations
  11. Electromagnetic Waves
  12. Relativistic Transformations
  13. Potentials and Fields of Moving Charges
  14. Radiation

Quatuntum Mechanics

  1. Classical Theories Revisited
  2. A Quick Review of Vector Spaces
  3. Inner Product Spaces
  4. Infinite Dimensional Vector Spaces
  5. 30 Years That Shook Physics
  6. Postulates of Quantum Mechanics
  7. Canonical Quantization
  8. Eigenvalues Using Commutators
  9. Time Development
  10. Coordinate and Momentum Representation
  11. Time Dependent Schrodinger Equation
  12. Free Particle and Particle in a Box
  13. Energy Eigenvalue Problems in One Dimension
  14. Problems in Two Dimensions
  15. Potentials with Special Properties
  16. Spherically Symmetric Potentials
  17. Angular Momentum in Quantum Mechanics
  18. Scattering  --- Three Dimensions, Born Approximaton
  19. Method of Partial Waves
  20. Spin and Identical Particles
  21. Variation Method
  22. WKB Approximation
  23. Time Independent Perturbation Theory
  24. Time dependent Perturbation Theory
  25. Semi Classical Theory of Radiation

Thermodynamics

  1. Basic Concepts; Temperature and First Law of Thermodynamics
  2. Simple Thermodynamic Systems
  3. Work and First Law of Thermodynamics
  4. Entropy and the Second Law of Thermodynamics 
  5. Combined First and Second Law of Thermodynamics 
  6. Applications of Thermodynamics to Simple Systems  
  7. Kinetic Theory  
  8. Transport Phenomena  
  9. Statistical Thermodynamics
  10. Applications of Statistics to Gases
  11. Thermal Properties of Solids
  12. Critical Phenomena  
  13. Chemical Equilibrium 
  14. Hetrogeneous Systems

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