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QUANTUM MECHANICS

QUANTUM MECHANICS . A Paradigms Approach This page intentionally left blank QUANTUM MECHANICS . A Paradigms Approach David H. McIntyre Oregon State University with contributions from Corinne A. Manogue, Janet Tate and the Paradigms in Physics group at Oregon State University Boston Columbus Indianapolis New York San Francisco Upper Saddle River Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montr al Toronto Delhi Mexico City S o Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo Publisher: Jim Smith Cover Design: Mark Ong Editorial Manager: Laura Kenney Manufacturing Buyer: Kathy Sleys Senior Project Editor: Katie Conley Manager, Rights and Permissions: Zina Arabia Assistant Editors.

1.2 Quantum State Vectors 10 1.2.1 Analysis of Experiment 1 16 1.2.2 Analysis of Experiment 2 16 1.2.3 Superposition States 19 1.3 Matrix Notation 22 1.4 General Quantum Systems 25 1.5 Postulates 27 Summary 28 Problems 29 Resources 32 Activities 32 Further Reading 33 2 Operators and Measurement 34 2.1 Operators, Eigenvalues, and Eigenvectors 34

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