Syllabus

    Historical foundations. 

    Wave function for a single particle. 

    Hamiltonian. Schrodinger equation. 

    Probability current. Wave packets.

    One-dimensional problems: 

    particle in a box and on a circle,

    step, barrier and delta-function potentials. 

    Energy bands in periodic potentials.

    Scattering and bound states. Tunnelling.

    Simple harmonic oscillator, operator approach.

    Ehrenfest's theorem.

    Particle in an electromagnetic field. Aharonov-Bohm effect.

    Uncertainty relations. Momentum representation.

    Hermitian and unitary operators. Orthonormal basis. 

    Postulates of quantum mechanics.

    Matrix formulation of quantum mechanics.

    Three-dimensional problems. 

    Rotations, angular momentum operators, commutation relations. 

    Spherical harmonics. 

    Hydrogen atom, its spectrum and wave functions. 

    Spin angular momentum. Spin-1/2 and two-level systems. 

    Addition of angular momentum.

    Spin-orbit and hyperfine interactions.

    Time-independent perturbation theory.  

    Stark and Zeeman effects.

Recommended Texts

• C. Cohen-Tannoudji, B. Diu and F. Laloe, Quantum Mechanics, Volumes 1 and 2, John Wiley & Sons, 2005.

• D. J. Griffiths, Introduction to Quantum Mechanics, Pearson, 2005.

• L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Vol. 3 of Course of Theoretical Physics, 1999. (tough book, try it after the course)

• F. Schwabl, Quantum Mechanics, Springer, 1995. (most suggested)

• K. Sengupta and P. B. Pal, Introduction to Quantum Mechanics, Cambridge University Press, 2023.

• R. Shankar, Principles of Quantum Mechanics, Springer, 2010.

Other Texts

• Nourdine Zettili, Quantum Mechanics.

Similar Courses

• Quantum Mechanics and Applications, IIT Delhi by Prof. Ajoy Ghatak - https://nptel.ac.in/courses/115102023.

• Quantum Physics, IIT Madras by Prof. V. Balakrishnan - https://nptel.ac.in/courses/122106034.

• Quantum Mechanics I, IIT Bombay by Prof. Ramadevi - https://nptel.ac.in/courses/115101107.

• Quantum Mechanics I, MIT: https://ocw.mit.edu/courses/8-04-quantum-physics-i-spring-2016/.

• Quantum Mechanics II, MIT: https://ocw.mit.edu/courses/8-05-quantum-physics-ii-fall-2013/.

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