文档介绍：Foundations of Quantum Mechanics
Dr. H. Osborn1
Michælmas 1997
1
LATEXed by Paul Metcalfe – comments and corrections to ******@.
Revision:
Date: 1999-06-06 14:10:19+01
The following people have maintained these notes.
– date Paul Metcalfe
Contents
Introduction v
1Basics 1
......................... 1
.......................... 3
Continuum basis . ....................... 4
Actionofoperatorsonwavefunctions............. 5
Momentumspace........................ 6
..................... 7
UnitaryOperators........................ 8
Timedependence........................ 8
2 The Harmonic Oscillator 9
....................... 10
............................. 11
3 Multiparticle Systems 13
of physical systems . ................... 13
Multiparticle Systems . . . ....................... 14
Identicalparticles........................ 14
Spinlessbosons......................... 15
1
Spin 2 fermions........................ 16
................. 17
............................... 17
4 Perturbation Expansions 19
Introduction . .............................. 19
-degenerateperturbationtheory.................. 19
............................... 21
5 General theory of angular momentum 23
Introduction . .............................. 23
1
Spin 2 particles......................... 24
Spin 1 particles......................... 25
Electrons............................ 25
Addition of angular momentum . . ................... 26
.................. 27
iii
iv CONTENTS
Introduction
These notes are based on the course “Foundations of Quantum Mechanics” given by
Dr. H. Osborn in Cambridge in the Michælmas Term 1997. mended books are