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PHSI423 Advanced Quantum Mechanics I

Paper Description

A graduate level course of non-relativistic quantum mechanics, which provides the theoretical underpinning to allow students to understand the solutions of archetypical quantum mechanical problems.

Provides a hands-on experience, where insights are gained by active problem solving in a supportive group environment.

Textbook required: Quantum Mechanics, David J. Griffiths, 2nd Edition, Pearson 2005

Prerequisites:
PHSI 331, PHSI 332

This paper consists of 15 lectures and 6 tutorials. There are 3 assignments.

Assesment:
Final Exam 70%, Assignments 30%

Important information about assessment for PHSI423

Course Coordinator:
Prof David Hutchinson

After completing this paper students are expected to have achieved the following major learning objectives:

  • Be able to use the variational principle to estimate ground and excited state energies and wavefunctions.
  • Be able to perform degenerate and non-degenerate time-independent perturbation calculations.
  • Be familiar with symmetry as applied to quantum mechanics and the relationship with conservation laws; understand Noether's theorem.
  • Understand the relationship between Schrödinger, Heisenberg and Interaction Picture representations. Be able to solve problems using the Heisenberg equation of motion.
  • Be familiar with the derivation and use of time-dependent perturbation theory.
  • Be familiar with basic concepts of many body physics and be able to use the occupation number representation.

Topics:

  • Perturbation theory
  • Symmetry and conservation laws
  • Representations
  • Time-dependent perturbation theory
  • Second quantization, occupation number representation


 


Formal University Information

The following information is from the University’s corporate web site.

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Details

Operator methods; translation, rotation, and time evolution; symmetries and conservation laws; Schrödinger, Heisenberg and interaction pictures; time-dependent perturbation; Wigner-Eckhardt theorem; entanglement.

Paper title Advanced Quantum Mechanics I
Paper code PHSI423
Subject Physics
EFTS 0.0833
Points 10 points
Teaching period First Semester
Domestic Tuition Fees (NZD) $666.57
International Tuition Fees (NZD) $2,895.09

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Limited to
BSc(Hons), PGDipSci, MSc
Contact
david.hutchinson@otago.ac.nz
Teaching staff
Professor David Hutchinson
Textbooks

No textbook required

Graduate Attributes Emphasised
Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship, Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
View more information about Otago's graduate attributes.
Learning Outcomes
Upon successful completion of the paper students will
  • Be able to use the variational principle to estimate ground and excited state energies and wave functions.
  • Be able to perform degenerate and non-degenerate time-independent perturbation calculations.
  • Be familiar with symmetry as applied to quantum mechanics and the relationship with conservation laws and understand Noether's theorem.
  • Understand the relationship between Schrödinger, Heisenberg and Interaction Picture representations and be able to solve problems using the Heisenberg equation of motion.
  • Be familiar with the derivation and use of time-dependent perturbation theory.
  • Be familiar with basic concepts of many-body physics and be able to use the occupation number representation.

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Timetable

First Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
None