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Overview

Non-relativistic quantum mechanics, providing the theoretical underpinning to allow students to understand the fundamentals of Quantum Mechanics including Schrödinger and Heisenberg pictures of time evolution and time-dependent perturbation theory.

About this paper

Paper title Advanced Quantum Mechanics I
Subject Physics
EFTS 0.0833
Points 10 points
Teaching period Semester 1 (On campus)
Domestic Tuition Fees ( NZD ) $813.42
International Tuition Fees Tuition Fees for international students are elsewhere on this website.
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.

Overview

Non-relativistic quantum mechanics, providing the theoretical underpinning to allow students to understand the fundamentals of Quantum Mechanics including Schrödinger and Heisenberg pictures of time evolution and time-dependent perturbation theory.

About this paper

Paper title Advanced Quantum Mechanics I
Subject Physics
EFTS 0.0833
Points 10 points
Teaching period Semester 1 (On campus)
Domestic Tuition Fees Tuition Fees for 2027 have not yet been set
International Tuition Fees Tuition Fees for international students are elsewhere on this website.
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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