Family of almost periodic Schroedinger operators

Conference · Sat Jan 01 00:00:00 EST 1983

OSTI ID:5399399

Baker, Jr, G A; Bessis, D; Moussa, P

Bellisard et al., introduced a one-dimensional, almost-periodic, discrete Schroedinger operator which is defined by a parameter lambda. We allow this parameter to become complex and develop a geometric formalism to control the operator. The support of the spectrum of this operator is the Julia set of the mapping x/sup 2/ - lambda ..-->.. x. We prove that the almost-periodicity holds over wide regions of the complex lambda-plane, even though Hermiticity fails. 14 references.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); CEA Centre d'Etudes Nucleaires de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5399399
• Report Number(s): LA-UR-83-2295; CONF-8308153-1; ON: DE83017308
• Resource Relation: Conference: 7. international conference on mathemitical physics, Boulder, CO, USA, 1 Aug 1983
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
SCHROEDINGER EQUATION
QUANTUM OPERATORS
EIGENFUNCTIONS
HAMILTONIANS
MAPPING
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics