JOURNAL ARTICLE

Explicit n-particle harmonic oscillator states in products of SU(1,1) representations.

  • Published In: International Journal of Quantum Information, 2024, v. 22, n. 6. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Kakekaspan, Noah; de Guise, Hubert 3 of 3

Abstract

In this paper, we present a simple algorithm for the explicit construction of n -particle harmonic oscillator states simultaneously belonging to irreducible representations of S p (2 , ℝ) (or S U (1 , 1)) and O (n). For degenerate representations, the construction can be done using generating functions or hyperspherical harmonics. The cases with n = 2 and n = 3 are investigated at greater length. The analysis is extended to nondegenerate states, although the states are not so easily obtained as in the degenerate case. Finally, we briefly touch on the O (2) structure of Bell states. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Quantum Information. 2024/09, Vol. 22, Issue 6, p1
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2024
  • ISSN:0219-7499
  • DOI:10.1142/S0219749924500229
  • Accession Number:180651339
  • Copyright Statement:Copyright of International Journal of Quantum Information is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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