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PHSI423 Advanced Quantum Mechanics I

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) $628.08
International Tuition Fees (NZD) $2,573.97

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Limited to
BSc(Hons), PGDipSci, MSc
Contact
david.hutchinson@otago.ac.nz
Teaching staff
Professor David Hutchinson
Textbooks
Text books are not required for this paper.
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
  • Understand gauge invariance in the context of quantum mechanics
  • 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 Schr?Âdinger, 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
  • Understand the origins of superconductivity

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Timetable

First Semester

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

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 Tuition Fees for 2018 have not yet been set
International Tuition Fees Tuition Fees for international students are elsewhere on this website.

^ Top of page

Limited to
BSc(Hons), PGDipSci, MSc
Contact
david.hutchinson@otago.ac.nz
Teaching staff
Professor David Hutchinson
Textbooks
Textbooks are not required for this paper.
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
  • Understand gauge invariance in the context of quantum mechanics
  • 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
  • Understand the origins of superconductivity

^ Top of page

Timetable

First Semester

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