A Schrödinger-type equation over the field of p-adic numbers

DOI10.1063/1.530085zbMath0780.35088OpenAlexW2088961149MaRDI QIDQ3141345

Anatoly N. Kochubei

Publication date: 6 February 1994

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

Full work available at URL: https://doi.org/10.1063/1.530085

zbMATH Keywords

uniquenessCauchy problemhypersingular integral operatormultidimensional pseudo-differential equation

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) PDEs in connection with quantum mechanics (35Q40) General mathematical topics and methods in quantum theory (81Q99)

Related Items

Measure-valued branching processes associated with random walks on \(p\)-adics., Strong Markov processes and negative definite functions associated with non-Archimedean elliptic pseudo-differential operators, \(C_{0}\)-semigroups of linear operators on some ultrametric Banach spaces, Corrigendum to ``Decay of solutions of wave-type pseudo-differential equations over \(p\)-adic fields, Decay of solutions of wave-type pseudo-differential equations over \(p\)-adic fields, Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields, Some problems of analysis on the field ofp-adic numbers, On \(p\)-adic mathematical physics, Non-Archimedean quantum mechanics via quantum groups

Cites Work

• P-adic Schrödinger-type equation
• p-adic quantum mechanics
• Special functions on locally compact fields
• SPECTRAL THEORY INp-ADIC QUANTUM MECHANICS, AND REPRESENTATION THEORY
• Quantum mechanics on p-adic fields
• Generalized functions over the field ofp-adic numbers