# Department of Mathematics Syllabus

This syllabus is advisory only. For details on a particular instructor's syllabus (including books), consult the instructor's course page. For a list of what courses are being taught each quarter, refer to the Courses page.

## MAT 265: Mathematical Quantum Mechanics

**Approved:**2009-07-01, Andrew Waldron

**Units/Lecture:**

Fall, alternate years; 4 units; lecture/term paper or discussion

**Suggested Textbook:**(actual textbook varies by instructor; check your instructor)

**Prerequisites:**

MAT 201 or consent of instructor.

**Course Description:**

Mathematical foundations of quantum mechanics: the Hilbert space and Operator Algebra formulations; the Schrodinger and Heisenberg equations, symmetry in quantum mechanics, basics of spectral theory and perturbation theory. Applications to atoms and molecules. The Dirac equation.

**Suggested Schedule:**

Topics/Comments |
---|

Topics vary according to Instructor |

Foundations of quantum mechanics |

The Hilbert space and operator algebra formulations |

The Schrodinger and Heisenberg equations |

Analysis of simple systems |

Symmetry in quantum mechanics |

Representations of SU(2) and spin |

Spectral theory of Schrodinger operators |

Perturbation theory |

Applications to atoms and molecules |

The Dirac equation |

**Additional Notes:**

Additional reference book: Operator Algebras and Quantum Statistical Mechanics, O. Bratteli and D. W. Robinson, ISBN-13: 978-3540170938 - Comment: Can vary, consult instructor.