Course Details
Subject {L-T-P / C} : PH4007 : Quantum Mechanics and Applications { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Sasmita Mishra
Syllabus
Formalism of quantum mechanics: Hilbert space and wave function, Dirac notation,operators, operator representation in discrete and continuous basis, matrix representation,postulates of quantum mechanics: basic postulates of quantum mechanics, observablesand operators, commutation relations and commutating observables, measurements inquantum mechanics, time evolution of system, symmetry and conservation laws,Schrödinger equation: time dependent and time independent Schroedinger equation,application to one dimensional harmonic oscillator. Schrödinger, Heisenberg andinteraction pictures. Angular momentum: general formalism of angular momentum, Orbitalangular momentum and its eigenfunctions, Spin angular momentum, experimentalevidence of spin, Pauli matrices, application to three dimensional problems (Central potential)
Course Objectives
- Get familiar with formulation of Quantum Mechanics through linear algebra and matrix algebra.
- Solving problems in Quantum Mechanics and getting a clear idea of eigenenergies and eigenfunctions.
- Solving problems in more than one dimension and multi-particle systems.
Course Outcomes
The students will get familiar with solving problems in Quantum Mechanics through DIrac's bra and ket notations.
Essential Reading
- N. Zettil, Quantum Mechanics: Concepts and Applications, Wiley, 2nd Edition (2009)
- C. Cohen-Tannoudji, Quantum Mechanics (vol.1), John Willey & sons, 2005
Supplementary Reading
- D. J. Griffith, Introduction to Quantum Mechanics, Pearson, 2nd Edition (2007
- R. Shankar, Principles of Quantum Mechanics, Plenum Publishers, 2nd Edition (1994)