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Quantum Field Theory of Many-Body SystemsFrom the Origin of Sound to an Origin of Light and Electrons$
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Xiao-Gang Wen

Print publication date: 2007

Print ISBN-13: 9780199227259

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199227259.001.0001

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Path Integral Formulation of Quantum Mechanics

Path Integral Formulation of Quantum Mechanics

Quantum Field Theory of Many-Body Systems

Xiao-Gang Wen

Oxford University Press

This chapter introduces path integral and various correlation functions at zero and non-zero temperatures to study interacting quantum systems. Semi-classical approximation and instanton effects are used to evaluate path integrals. The relation between correlation functions and physical measurements is discussed. The path integral method is then applied to a few simple systems, including a quantum system with friction and a quantum electric circuit.

Keywords:   path integral, correlation function, Green function, semi-classical approximation, instanton effect, dissipative quantum system, quantum electric circuit, Berry's phase

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