PHY 402- Fall 2014

**Instructor: **Paulo
Bedaque, Physics Building, room 2105

**Office hours: **Mondays, and Fridays, 10:00am to 10:50am, Wednesdays 10:00am t 11:50am

** Grader: **Yiming Cai

**Textbook: **D. Griffths, Introduction
to Quantum Mechanics, 2nd edition, is the recommended text. You
should be able to get by with the first edition too. An errata is
available from the authors's website.
The lectures will not follow
the book closely so, if you prefer any other of the many quantum
mechanics texts available on the market (and in the library), feel
free to use them.

**Grades:** The grade will be based on frequent
homeworks (10%), one midterm (40%) and one final (50%).

**Syllabus and objectives: **The goal of this class
is to generalize the basic principles of quantum mechanics to systems
with spin and/or more than one particle and apply this formalism to
situations of physical interest. In doing so, we will learn about a
number of paradigmatic approximation methods required to describe
realistic situations in atomic, molecular, nuclear, particle and
astrophysics. We will also discuss some foundational issues. These
topics are discussed in chapters 5 to 11 of Griffths' text.

** Review of basic formalism and mathematical
methods (Griffiths's appendix)**

- Bra and ket notation; review of linear algebra
- Space of states as an abstract Hilbert space

**Applications of Quantum Mechanics with two or more
particles (Chapter 5) **

• Generalization to many particles

• Two particle systems and the reduced mass

• Identical particles and exchange symmetry---fermions and bosons

• Aspects of atomic physics---role of the Pauli principle

• Aspects of solid state physics---the fermi gas; Bloch’s theorem and
band strucutre

**Approximation Methods in Quantum Mechanics (Chapters 6-10)**

• Time-independent perturbation theory

• Applications of time independent perturbation theory in atomic
physics

• Brief treatment of other time independent approximation
methods---variational and

WKB approximations

• Time-dependent perturbation theory

• Application to two level systems

• The sudden and adiabatic approximations

**Scattering theory (Chapter 11) **

• Meaning of Cross-Section

• Partial wave analysis and phase shifts

• The Born approximation

**Decoherence, measurement and Bell's inequalities**

Interesting links

first-hand
account of the discovery of spin

Homework

homework_7 solution variational calculaiton in Mathematica

homework_10 solution computer calculations

**Useful links:**

Some very disorganized and hard to read notes on bras and kets (they were meant for my own use only)

Besides the appendix on Griffths a good place to learn
linear algebra as required by this is class the chapters 6 and 7 of
Nearing's Mathematical
Tools for Physics**.**

A fail safe point in case you're lost with bracketology: failsafe

Academic Integrity:

of Academic Integrity, administered by the Student Honor Council. This Code sets standards for

academic integrity at Maryland for all undergraduate and graduate students. As a student you

are responsible for upholding these standards for this course. It is very important for you to be

aware of the consequences of cheating, fabrication, facilitation, and plagiarism. For more information on the Code of Academic Integrity or the Student Honor Council, please visit

http://www.studenthonorcouncil.umd.edu/whatis.html.