Mathematical Foundation for Quantum System

  • Masahito HayashiEmail author


This book introduces group representation theory in terms of quantum theory. For this purpose, this chapter introduces basic concepts of quantum theory, measurement, state, composite system, many-body system, and entanglement. It also prepares mathematical notations for quantum systems. Although these notations are specified to quantum systems, they are helpful for group representation. Hence, this book consistently deals with representation theory based on these notations.


Density Matrix Tensor Product Quantum System Physical Quantity Composite System 
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Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.Graduate School of MathematicsNagoya UniversityNagoyaJapan

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