Harmonic oscillator in characteristic \(p\)

DOI10.1023/A:1007442601381zbMath1036.11520arXivq-alg/9710001OpenAlexW3156061846MaRDI QIDQ1127723

Anatoly N. Kochubei

Publication date: 5 November 1998

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9710001

zbMATH Keywords

irreducible representationBanach spacecanonical commutation relationscoherent stateslocal fieldcreation and annihilation operatorsCarlitz exponentialCarlitz basis

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Miscellaneous applications of number theory (11Z05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (7)

Quasi-holonomic modules in positive characteristic ⋮ The Carlitz algebras. ⋮ Umbral calculus in positive characteristic ⋮ DWORK–CARLITZ EXPONENTIAL AND OVERCONVERGENCE FOR ADDITIVE FUNCTIONS IN POSITIVE CHARACTERISTIC ⋮ Differential equations for \({\mathbb F}_q\)-linear functions ⋮ \(\mathbb{F}_q\)-linear calculus over function fields ⋮ Differential equations for \(\mathbb F_q\)-linear functions. II: Regular singularity.

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