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Quantum Probability and Orthogonal Polynomials

  • Akihito Hora
  • Nobuaki Obata
Chapter
Part of the Theoretical and Mathematical Physics book series (TMP)

Abstract

This chapter is devoted to most basic notions and results in quantum probability theory, especially concerning the interplay of (one-mode) interacting Fock spaces and orthogonal polynomials.

Keywords

Probability Measure Orthogonal Polynomial Moment Problem Quantum Probability Diagonal Operator 
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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Copyright information

© Springer 2007

Authors and Affiliations

  • Akihito Hora
    • 1
  • Nobuaki Obata
    • 2
  1. 1.Graduate School of MathematicsNagoya UniverstiyNagoyaJapan
  2. 2.Graduate School of Information SciencesTohoku UniversitySendaiJapan

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