Energy levels corresponding to \(p\)-adic quantum states
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 \(s\to\infty\).
harmonic oscillator with a constant potential
scientific article; zbMATH DE number 1037733