Algebraic Weyl system and application

DOI10.5802/ambp.95zbMath0947.46056OpenAlexW2329600289MaRDI QIDQ1381932

Youngho Jang

Publication date: 2 September 1999

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1997__4_2_27_0

zbMATH Keywords

\(p\)-adic symplectic space\(p\)-adic Heisenberg groupalgebraic Weyl system

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) General mathematical topics and methods in quantum theory (81Q99) Algebraic number theory: local fields (11S99) Other nonanalytic theory (11S85)

Cites Work

• Superanalysis, I. Differential calculus
• The Weil representation, Maslov index and theta series
• \(p\)-adic quantum mechanics and coherent states. I. Weyl systems
• p-adic quantum mechanics
• \(p\)-adic Heisenberg group and Maslov index
• Über einige Integralformeln in der Theorie der quadratischen Formen
• Sur certains groupes d'opérateurs unitaires
• A discretization of p-adic quantum mechanics
• Quantum mechanics on p-adic fields
• THE INFINITE-DIMENSIONALp-ADIC SYMPLECTIC GROUP
• Representations of commutations relations for p-adic systems of infinitely many degrees of freedom
• REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
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