ON THE FOURIER-TRANSFORM AND THE SPECTRAL PROPERTIES OF THE P-ADIC MOMENTUM AND SCHRODINGER-OPERATORS

Authors
ALBEVERIO S CIANCI R KHRENNIKOV A
Citation
S. Albeverio et al., ON THE FOURIER-TRANSFORM AND THE SPECTRAL PROPERTIES OF THE P-ADIC MOMENTUM AND SCHRODINGER-OPERATORS, Journal of physics. A, mathematical and general, 30(16), 1997, pp. 5767-5784
Citations number
37
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
16
Year of publication
1997
Pages
5767 - 5784
Database
ISI
SICI code
0305-4470(1997)30:16<5767:OTFATS>2.0.ZU;2-7
Abstract
A momentum representation for p-adic quantum mechanics is constructed. It uses a Fourier transform in the L-2-space with respect to the p-ad ic Lebesgue distribution and a study of its properties. The momentum r epresentation is used to investigate the spectral properties of the p- adic momentum operator and to study the (p-adic valued) Schrodinger eq uation for the p-dic harmonic oscillator.