Eigenfunctions decay for magnetic pseudodifferential operators

DOI10.1063/1.3642622zbMath1272.81064arXiv1005.1743OpenAlexW3106332912MaRDI QIDQ2849762

Radu Purice, Viorel Iftimie

Publication date: 24 September 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1743

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial functional-differential equations (35R10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

Regularity for eigenfunctions of Schrödinger operators ⋮ On the atomic orbital magnetism: a rigorous derivation of the Larmor and Van Vleck contributions

Cites Work

• Exponential decay for the eigenfunctions of the two body relativistic Hamiltonian
• Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
• Unicity of the integrated density of states for relativistic Schrödinger operators with regular magnetic fields and singular electric potentials
• Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field
• Decay at infinity of eigenfunctions of Schrödinger operators with polynomial electro-magnetic field
• Magnetic pseudodifferential operators
• Commutator Criteria for Magnetic Pseudodifferential Operators
• Product rule for gauge invariant Weyl symbols and its application to the semiclassical description of guiding centre motion
• Asymptotic behavior of the solutions of linear and quasilinear elliptic equations on $\mathbb {R}^{N}$
• Quantum magnetic algebra and magnetic curvature
• Symplectic areas, quantization, and dynamics in electromagnetic fields
• The magnetic Weyl calculus

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