The Schrödinger equation on cylinders and the \(n\)-torus

DOI10.1007/s00028-010-0089-4zbMath1253.30067OpenAlexW2078495200MaRDI QIDQ657018

Rolf Sören Krausshar, Nelson Vieira

Publication date: 13 January 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-010-0089-4

zbMATH Keywords

Clifford algebra calculusregularized parabolic-type Dirac operatorsSchrödinger equation on manifolds

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral representations of solutions to PDEs (35C15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

Maximum principle for the regularized Schrödinger operator ⋮ The Schrödinger semigroup on some flat and non flat manifolds ⋮ Hodge-type decomposition for time-dependent first-order parabolic operators with non-constant coefficients: the variable exponent case ⋮ Hodge decomposition and solution formulas for some first-order time-dependent parabolic operators with non-constant coefficients ⋮ Hodge type decomposition in variable exponent spaces for the time-dependent operators: the Schrödinger case ⋮ The use of the Kontorovich–Lebedev transform in an analysis of regularized Schrödinger equation ⋮ Time-dependent operators on some non-orientable projective orbifolds

Cites Work

• Some conformally flat spin manifolds, Dirac operators and automorphic forms
• Powers of the parabolic Dirac operator
• Clifford and harmonic analysis on cylinders and tori
• Regularization of the non-stationary Schrödinger operator
• Quaternionic factorization of the Schrödinger operator and its applications to some first-order systems of mathematical physics
• Elliptic boundary value problems of fluid dynamics over unbounded domains
• Parabolic Dirac operators and the Navier-Stokes equations over time-varying domains
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Schrödinger equation on cylinders and the \(n\)-torus