Quantum Mechanics:
A graduate level course
Richard Fitzpatrick
Associate Professor of Physics
The University of Texas at Austin
Contents
1 Introduction 5
1.1 Major sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2 Fundamental concepts 6
2.1 The breakdown of classical physics . . . . . . . . . . . . . . . . . . 6
2.2 The polarization of photons . . . . . . . . . . . . . . . . . . . . . . 7
2.3 The fundamental principles of quantum mechanics . . . . . . . . . 9
2.4 Ket space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
2.5 Bra space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.6 Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
2.7 The outer product . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
2.8 Eigenvalues and eigenvectors . . . . . . . . . . . . . . . . . . . . . 20
2.9 Observables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.10 Measuremen
space/remen/量子/192.8/product/outer/172.7/Operator/142.6/Bra/
space/remen/量子/192.8/product/outer/172.7/Operator/142.6/Bra/
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