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Development of quantum mechanics from basic postulates, using operator techniques, with application of the formalism to a variety of systems; time-independent perturbation theory.
The objectives of the course are to understand:The way in which systems are represented in quantum mechanics by wavefunctions and physical observables are represented by operatorsHow to determine the possible values that can be obtained from the measurement of observables and, given the wavefunction for a state, the probability of obtaining a given valueHow the time-dependent Schrödinger’s equation can be used to obtain dynamical information about quantum states and the time-independent equation can be used to determine the allowed energy states given the potential. How to apply perturbation theory to obtain approximate solutions to Schrodinger’s equation for situations when an exact solution isn’t possibleHow the algebra of angular momentum determines the allowed values for the magnitude and one component of the angular momentum and how this can be applied to orbital and spin angular momentum as well as the total angular momentum of a systemHow to use series solutions to solve various differential equations which arise in quantum mechanics
(1) PHYS203 or (PHYS206 and CHEM251); (2) MATH103 or EMTH119 or MATH201. RP: MATH201 and MATH203
MATH201 and MATH203
Note: Homework Assignments. It is allowed, even encouraged, for you to work together on your assignments. However you must understand the material you hand in. There will be “spot” oral quizzes to test your understanding of what you have submitted in your assignment. You will be given zero for any question you cannot explain properly.
Griffiths, David J;
Introduction to Quantum Mechanics
Pearson Prentice Hall, 2005.
J. J. Sakurai;
Modern Quantum Mechanics
Quantum Mechanics: Foundations & Applications
J. S. Bell;
Speakable and Unspeakable in Quantum Mechanics
Cambridge University Press.
P. A. M. Dirac;
The Principles of Quantum Mechanics
Clarendon Press, Oxford, 1958.
General Course Information (PDF 163KB)
Domestic fee $900.00
International fee $4,250.00
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
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