Physics 6452  Quantum Mechanics II (Nieves)
 Number of Credits: 3
 Prerequisites: Permission of the Graduate Committee
 Jose F Nieves

Office: C317 (ext 4775)
University of Puerto Rico  Rio Piedras Campus
Department of Physics
Text
 Principles of Quantum Mechanics, R. Shankar (Plenum Press)
Bibliography
 Messiah, A. (1961). Quantum Mechanics. Interscience, NY
 Merzbacher, E. (1970). Quantum Mechanics, 2nd ed. Wiley, NY
 Schiff, L. I. (1968). Quantum Mechanics, 3rd ed. McGrawHill, NY
Minimum Required Facilities
 Traditional lecture room
Instructional Strategy
 Lectures
Student Evaluation
 Standard A to F grading system. Grading will depend on performance in periodic problem sets, a midterm exam and a final exam, with the following weights:
 Homework: 40%
 Midterm exam: 30%
 Final exam: 30%
Homeworks
By all means you may work in groups on the homework assignments. Collaboration is an important part of learning and of scholarship in general. However, each student must turn in her or his own writeup of the solutions. If two individual writeups are nearly identical, neither will receive credit. In fairness to your fellow students, late homework will not be accepted.
Description
This is the second part of the introductory course on Quantum Mechanics for first year Physics graduate students. The main topics to be discussed are: Timeindependent and timedependent perturbation methods, scattering theory, radiative decays of atoms, systems of identical particles, spin and statistics.
Objectives
After completing this course the student will have a good background to carry out basics quantum mechanical calculations in systems of practical interest.
Contents
 Timeindependent perturbation theory for nondegenerate states: energy eigenvalues and eigenvectors through second order
 Timeindependent perturbation theory for degenerate states: lifting degeneracies.
 Applications:
 Simple examples: twostate systems, a simple harmonic oscillator
 The fine structure of hydrogen: relativistic and spinorbital effects.
 The hydrogen atom in a magnetic field: the Zeeman effect.
 The hydrogen atom in a electric field: the Stark effect.
 The adiabatic theorem
 Application to spin in a timevarying magnetic field.
 Resonant adiabatic transitions and the MikheyevSmirnovWolfenstein solution to the solar neutrino problem

Timedependent perturbation theory
 General expression for transition probability
 The Fermi Golden Rule
 The density of states
 Emission and absorption of light
 Spontaneous emission. How excited states of atoms decay
 Scattering
 Definition of the total and differential cross section
 The Optical theorem
 The Born approximation
 Yukawa and Coulomb scattering
 Scattering length
 Resonances
 Quantum Computing
 Qbits
 Entanglement
 Quantum Fourier Transforms
 Using many twostate systems as a quantum computer
RIGHTS OF STUDENTS WITH DISABILITIES
ACOMODO RAZONABLE
INTEGRIDAD ACADEMICA