Global boundary conditions for a Dirac operator on the solid torus

DOI10.1063/1.3602276zbMath1317.81130arXiv1103.4569OpenAlexW3104459781MaRDI QIDQ5266062

Matt McBride, Sławomir Klimek-Chudy

Publication date: 29 July 2015

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

Full work available at URL: https://arxiv.org/abs/1103.4569

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Parametrices in context of PDEs (35A17) Boundary value problems for linear first-order PDEs (35F15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (4)

Properties of the Product of Modified Bessel Functions ⋮ Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula ⋮ Dirac type operators on the quantum solid torus with global boundary conditions ⋮ Bounds for Turánians of modified Bessel functions

Cites Work

• D-bar operators on quantum domains
• A note on Dirac operators on the quantum punctured disk
• A Dirac type operator on the non-commutative disk
• Spectral boundary conditions and index theorem for two-dimensional compact manifold with boundary
• On a product of modified Bessel functions
• Spectral asymmetry and Riemannian geometry. III
• Dirac operator on a disk with global boundary conditions
• On an Inequality for Modified Bessel Functions
• Bessel Function Approximations
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