PHY3601: Quantum Mechanics
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Updated: Sept 1, 2010

Announcement:  

bulletNew: Test 1 results here and solutions below.
bulletNew: Assignment 1 solutions uploaded below.
bulletTest 1 postponed to August 10, 2010
bulletSemester 1 2010/2011 PHY3601 Lectures begins on Tuesday, July 13, 2010
bulletPHY3601 lectures for Semester 1 2010/2011
Tuesday: 1400-1600 (DKS)
Wednesday: 1400-1500 (DKS)


 Semester 2 2009/2010 

bulletNotes for Semester 1 2010/2011  
bulletBooks
bulletOld Lecture Notes from 2006-2007
bulletOld Lecture Notes (in English)
bulletOlder Transparencies (in Malay)
bulletExtra Reading Materials
bulletAssignments 
bulletClass Exercises
bulletExam Solutions  
bulletSynopsis & Nature of Notes

Comment: I have removed the old notes in Malay. The much older transparencies are still available.

New notes for Semester 2 2007/8 will be uploaded later.

Notes: These are notes given in the lectures for Semester 2 2007/8; all in pdf format. No specific textbook will be used but some suggestions are given below

The outline of the course is available here with expected learning outcomes here. Planned exams given here.

bulletLecture 1: Particles, Waves and the Quantum (updated July 27, 2010)
bulletLecture 2: Superposition and Fourier Analysis (updated July 27, 2010)
bulletLecture 3: Wavepackets (updated August 2, 2010)
bulletLecture 4: Probabilistic Interpretation and Hilbert Spaces (updated September 1, 2010)
bulletLecture 5: Dirac Delta Function and Representation of Quantum States (updated September 1, 2010)
bulletLecture 6: Observables and Operators (updated September 1, 2010)
bulletLecture 7: Observables, Eigenequations and Hermitian Operators (updated September 1, 2010)
bulletLecture 8: Commutators & Uncertainties 
bulletLecture 9: Schrodinger's Wave Mechanics 
bulletLecture 10: Constant Potential & Step Potential 
bulletLecture 11: Barrier Potential & Box Potential 
bulletLecture 12: Parity & Finite Square Well Potential 
bulletLecture 13: Periodic Potential 
bulletLecture 14: Simple Harmonic Oscillator 
bulletLecture 15: State Vectors & Inner Product 
bulletLecture 16: Operators, Hermitian Conjugation & Outer Product 
bulletLecture 17: Basis Kets, Eigenkets and Basis Operators 
bulletLecture 18: Matrix Representation 
bulletLecture 19: Transformation Theory 
bulletLecture 20: Physical States, Predictions & Measurements 
bulletLecture 21: Uncertainty Principle & Tensor Products 
bulletLecture 22: Position & Momentum Eigenbasis and Wave Mechanics 
bulletLecture 23: Quantum Dynamics 
bulletLecture 24: Harmonic Oscillator Revisited 
bulletLecture 25: Orbital Angular Momentum 
bulletLecture 26: Angular Momentum Spectra 
bulletLecture 27: Representations of Angular Momentum 
bulletLecture 28: Quantum Two-Body Problem 
bulletLecture 29: Hydrogen Atom 
bulletLecture 30: Spin Angular Momentum 
bulletLecture 31: Addition of Angular Momentum 
bulletLecture 32: Identical Particles 

Books

Here are some recommended books according to personal views and topics appearing in lectures

Two books to help you get acquainted with introductory examples and exercises

bulletDavid McMahon, "Quantum Mechanics Demystified", (McGraw Hill, 2005)
bulletE. Zaarur & P. Reuven, "Schaum's Outline of Quantum Mechanics", (McGraw Hill, 1998)

Some standard text-books (note, there's plenty more):

bulletDavid J. Griffiths, "Introduction to Quantum Mechanics", (Benjamin-Cummings, 2004) - short and simple
bulletA.C. Philips, "Introduction to Quantum Mechanics", (John-Wiley, 2003)
bulletRichard Liboff, "Introductory Quantum Mechanics", (Addison-Wesley, 2004) - comprehensive, cover applications, topics may appear slightly jumbled.
bulletEugen Merzbacher, "Quantum Mechanics", (John Wiley, 1997) - classic, slightly technical

Topical ones:

bulletDavid Bohm, "Quantum Theory", (Dover, 1989) - good for wave mechanics
bulletChris Isham, "Lectures on Quantum Theory: Mathematical and Structural Foundations", (Imperial College Press, 1995) - good for modern mathematical aspects and concepts
bulletJ.J. Sakurai, "Modern Quantum Mechanics", (Addison-Wesley, 1994) - for the technical mathematics

 

Extra Reading Materials
Note: Journal articles can only be downloaded in campus. Those having difficulty in getting, please inform me.

bulletA. Tonomura et al., "Demonstration of Single-Electron Buildup of an Interference Pattern", Am. J. Phys. 57 (1989) 117-120 
bulletR. Gahler & A. Zeilinger, "Wave-Optical Experiments with Very Cold Neutrons", Am. J. Phys. 59 (1991) 316-324 
bulletO. Nairz, M. Arndt & A. Zeilinger, "Quantum Interference Experiments with Large Molecules", Am. J. Phys. 71 (2003) 319-325 
bulletPlay with Wolfram's demos on Fourier series at http://demonstrations.wolfram.com/ExamplesOfFourierSeries/ 
bulletArticle on applications of Fourier series at http://sces.phys.utk.edu/~moreo/mm08/Matt.pdf 

 

Assignments: Semester 1 2010/11

Assignment 1 (due Friday August 6, 2010 before 5pm)

bulletSolution to Question 1 
bulletSolution to Question 2 
bulletSolution to Question 3 
bulletSolution to Question 4 
bulletSolution to Question 5 
bulletSolution to Question 6 
bulletSolution to Question 7 
bulletSolution to Question 8 

 

Tutorials  

Test 1 questions and solutions from last semester (Semester 2 2009/2010)

bullet

Test 1

bullet

Solution to Section A

bullet

Solution to Question 9

bullet

Solution to Question 10

 

Exam Solutions Semester 1 2010/2011

Test 1

bullet

Question paper

bullet

Solutions to Section A

bullet

Solution to Question 8

bullet

Solution to Question 9

bullet

Test 1 results

 

Synopsis

This course is meant to expose students to quantum theory. Emphasis is given to the use of Schrodinger equation in cases of one and three dimensions, for example harmonic oscillator, central force and hydrogen atom. Formal aspects of operator and quantum states are emphasized in this course. 

Nature of Notes

This course is about quantum mechanics per se and not about quantum physics in general. Of particular emphasis is the mathematical formalism of quantum theory for generating concepts of quantum physics and subsequently solving problems of quantum physics. Other aspects like the underlying philosophy and physical phenomena are discussed only sparingly. Students may want to seek elsewhere for materials on these aspects. 

 

 

Send mail to hisham(at)putra.upm.edu.my with questions or comments about this site.
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