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The Harmonic Oscillator

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1538)

Abstract

This chapter is the closest in these notes to what is usually called “Quantum Mechanics”. The present version is considerably shorter than the original French. It thus becomes more obvious that its main topic is not really elementary quantum mechanics, but rather elementary Fock space, and the quantum analogue of finite dimensional Gaussian random variables.

Keywords

  • Harmonic Oscillator
  • Gaussian Measure
  • Selfadjoint Operator
  • Canonical Commutation Relation
  • Minimal Uncertainty

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1993 Springer-Verlag Berlin Heidelberg

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Meyer, PA. (1993). The Harmonic Oscillator. In: Quantum Probability for Probabilists. Lecture Notes in Mathematics, vol 1538. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21558-6_3

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  • DOI: https://doi.org/10.1007/978-3-662-21558-6_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56476-8

  • Online ISBN: 978-3-662-21558-6

  • eBook Packages: Springer Book Archive