Abstract
The quantum theory of a free particle requires not just a state space \({\mathcal {H}}\), but also an inner product on \({\mathcal {H}}\), which should be translation invariant so that translations act as unitary transformations.
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© 2017 Peter Woit
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Woit, P. (2017). Fourier Analysis and the Free Particle. In: Quantum Theory, Groups and Representations. Springer, Cham. https://doi.org/10.1007/978-3-319-64612-1_11
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DOI: https://doi.org/10.1007/978-3-319-64612-1_11
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-64610-7
Online ISBN: 978-3-319-64612-1
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