Energy levels corresponding to \(p\)-adic quantum states
type: Item
instance of: scholarly article
title: Energy levels corresponding to \(p\)-adic quantum states
zbMATH Open document ID: 0879.46038
published in: Doklady Mathematics
publication date: 1997-10-08T00:00:00Z
review text: Hamiltonians of a harmonic oscillator with a constant potential are considered. A number of other models were studied by the authors in the paper [Int. J. Theor. Phys. 33, No. 6, 1217-1228 (1994; Zbl 0842.60096)]. The following theorem is proved: Let \(|\lambda+ 1|_p<|2|^3_p p^{3/(1-p)}\). Then the Hermitian coefficients \(J(2s)\) tend to zero in \(Q_p\) as \(s\to\infty\).
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 46S10
Mathematics Subject Classification ID: 60K40
zbMATH DE Number: 1037733
zbMATH Keywords: divergent expectations values
zbMATH Keywords: Hamiltonians
zbMATH Keywords: harmonic oscillator with a constant potential
zbMATH Keywords: Hermitian coefficients
author: Roberto Cianci
author: Andrei Khrennikov
reviewed by: T. D. Narang
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1037733