The Harmonic Oscillator

  • Paul-André Meyer
Part of the Lecture Notes in Mathematics book series (LNM, volume 1538)


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.


Harmonic Oscillator Gaussian Measure Selfadjoint Operator Canonical Commutation Relation Minimal Uncertainty 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Paul-André Meyer
    • 1
  1. 1.Institut de Recherche Mathématique AvancéeUniversité Louis PasteurStrasbourg-CedexFrance

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