Course Tittle: QUANTUM MECHANICS-I

Course Code: MATH-423

Credit Hours: 03

Instructor: WAJIHA PERVAIZ

Email: [email protected]

    DESCRIPTION & OBJECTIVES:-

This course covers the experimental basis of quantum physics. Topics include: photoelectric effect, Compton scattering, photons, Franck-Hertz experiment, the Bohr atom, electron diffraction, de Broglie waves, and the wave-particle duality of matter and light. Introduction to wave mechanics: Schrödinger's equation, wave functions, wave packets, probability amplitudes, stationary states, the Heisenberg uncertainty principle, and zero-point energies. Solutions to Schrödinger's equation in one dimension: transmission and reflection at a barrier, barrier penetration, potential wells, the simple harmonic motion.

    Recommended Books:

     1. Taylor G. Quantum Mechanics. 1st ed. George Allen and Unwin, 1970..

     2. Powell T.L and Crasemann B. Quantum Mechanics. 1st ed. Addison Wesley, 1961.

     3. Merzdacker E. Quantum Mechanics. 1st ed. John Wiley,1988.

     4. Eisberg R.M. Fundamental of Modern Mechanics. 1st ed. Willey, 1961. 

                                                                    CONTENTS:-

Inadequacy of classical mechanics: black body radiation, photoelectric effect, Compton effect, Bohr’s theory of atomic structure, wave-particle duality, the de-Broglie postulate, the uncertainty principle, uncertainty of position and momentum, statement and proof of the uncertainty principle, energy-time uncertainty, eigenvalues eigenfunctions, operators and eigenfunctions, linear operators, operator formalism in quantum mechanics, orthonormal systems, Hermitian operators and their properties,simultaneous eigenfunctions, parity operators, postulates of quantum mechanics, the Schrödinger wave equation.Motion in one dimension: step potential, potential barrier, potential well, and harmonic Schrödinger wave equation.Motion in one dimension: step potential, potential barrier, potential well, and harmonic.

RESEARCH PROJECT:-

N/A

ASSESSMENT CRITERIA:-

Mid exam: 30

Sessional: 20

 Project: --

Assignments: 10

Presentation: 10

Final exam: 50

Total: 100

RULES AND REGULATIONS:-

75% attendance is compulsory to appear in Final Term exam.