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Minkowski Space and the Lorentz Group

In: Quantum Theory, Groups and Representations

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  • Peter Woit

    (Columbia University, Department of Mathematics)

Abstract

For the case of non-relativistic quantum mechanics, we saw that systems with an arbitrary number of particles, bosons or fermions, could be described by taking as dual phase space the state space $$\mathcal H_1$$ of the single-particle quantum theory. This space is infinite dimensional, but it is linear and it can be quantized using the same techniques that work for the finite dimensional harmonic oscillator. This is an example of a quantum field theory since it is a space of functions that is being quantized.

Suggested Citation

  • Peter Woit, 2017. "Minkowski Space and the Lorentz Group," Springer Books, in: Quantum Theory, Groups and Representations, chapter 0, pages 503-513, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-64612-1_40
    DOI: 10.1007/978-3-319-64612-1_40
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