Abstract
In this chapter, we introduce a description of the quantum harmonic oscillator based upon the path integral introduced by Richard Feynman. This representation will be fundamentally important to the derivation of our approach to non-equilibrium quantum field theory and, as a result, we have chosen to devote a full chapter to its explanation.
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References
R.P. Feynman, L.M. Brown, Feynman’s Thesis: A New Approach to Quantum Theory (World Scientific, Singapore, 1942)
J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, 4th edn. International Series of Monographs on Physics (Oxford University Press, Oxford, 2002), pp. 19–54
S. Pokorski, Gauge Field Theories, 2nd edn. (Cambridge University Press, Cambridge, 2000)
L.H. Ryder, Quantum Field Theory, 2nd edn. (Cambridge University Press, Cambridge, 1996)
W. Greiner, J. Reinhardt, Field Quantization (Springer, Berlin, 1996)
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Millington, P. (2014). Correlation Functions. In: Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01186-8_5
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DOI: https://doi.org/10.1007/978-3-319-01186-8_5
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-01186-8
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