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Sathyabama Institute of Science and Technology B.Sc - Physics SPH1314 Quantum Mechanics Syllabus

SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF SCIENCE & HUMANITIES

SPH1314 QUANTUM MECHANICS
L T P Credits Total Marks
3 0 0 3 100

Unit I – Introduction to Quantum Mechanics: 9 Hrs
Postulates of quantum mechanics - Properties of Wave Function. Interpretation of Wave Function- Conditions for
Physical Acceptability of Wave Functions. Normalization. Linearity and Superposition Principles. Position, momentum and
Energy operators; Commutator of position and momentum operators; Expectation values. Uncertainty principle.

Unit II- Schrodinger Wave Equation: 9 Hrs
Time independent Schrodinger equation –derivation- General solution of the time dependent Schrodinger equation;
Eigenvalues and Eigenfunctions; Hamiltonian, stationary states and energy eigenvalues; expansion of an arbitrary wave function
as a linear combination of energy eigenfunctions; probability current densities.

Unnit III- General Discussion of bound states in an arbitrary potential: 9 Hrs
Continuity of wave function, boundary condition and emergence of discrete energy levels; application to onedimensional
problem- Wave Function of a Free Particle in one dimension - particle in a box- square well potential; Quantum
mechanics of simple harmonic oscillator-energy levels and energy eigen functions; ground state, zero point energy and
uncertainty principle.

Unit IV - Quantum theory of Hydrogen-like atoms: 9 Hrs
Time independent Schrodinger equation in spherical polar coordinates; separation of variables for second order
partial differential equation; solution of radial wave equation- Radial wave functions; shapes of the probability densities for
ground and first excited states; angular momentum operator & quantum numbers.

Unit V- Atoms in Electric & Magnetic Fields: 9 Hrs
Electron angular momentum. Space quantization. Electron Spin and Spin Angular Momentum. Larmor’s Theorem.
Spin Magnetic Moment. Stern-Gerlach Experiment. Zeeman Effect: Electron Magnetic Moment and Magnetic Energy,
Gyromagnetic Ratio and Bohr Magneton. Max. 45 Hours

Learning Outcomes:
Upon successful completion of this course students will be able
CO1: To understand the idea of wave function, normalization and uncertainty.
CO2: To derive Schrodinger wave equation.
CO3: To apply Schrodinger equation to one-dimensional problem, Free Particle in one dimension, particle in a box
and square well potential;
CO4: To derive Time independent Schrodinger equation in spherical polar coordinates, radial wave equation.
CO5: To understand the basics of Atoms in Electric & Magnetic Fields, Zeeman effect.

TEXT / REFERENCE BOOKS
1. A Text book of Quantum Mechanics, P.M.Mathews and K.Venkatesan, 2nd Ed., 2010, McGraw Hill
2. Quantum Mechanics, Robert Eisberg and Robert Resnick, 2nd Edn., 2002, Wiley.
3. Quantum Mechanics, Leonard I. Schiff, 3rd Edn. 2010, Tata McGraw Hill.
4. Quantum Mechanics, G. Aruldhas, 2nd Edn. 2002, PHI Learning of India.
5. Quantum Mechanics, Bruce Cameron Reed, 2008, Jones and Bartlett Learning.
6. Quantum Mechanics: Foundations & Applications, Arno Bohm, 3rd Edn., 1993, Springer
7. Quantum Mechanics for Scientists & Engineers, D.A.B. Miller, 2008, Cambridge University Press
8. Quantum Mechanics, Eugen Merzbacher, 2004, John Wiley and Sons, Inc.
9. Introduction to Quantum Mechanics, D.J. Griffith, 2nd Ed. 2005, Pearson Education
10. Quantum Mechanics, Walter Greiner, 4th Edn., 2001, Springer

END SEMESTER EXAM QUESTION PAPER PATTERN
Max. Marks: 100 Exam Duration: 3 Hrs.
PART A: 10 Questions of 2 mark each - No choice. 20 Marks
PART B: 2 Questions from each unit of internal choice, each carrying 16 marks. 80 Marks