Deficiency Indices for Singular Magnetic Schrödinger Operators-Reference-Cited by-同舟云学术

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Deficiency Indices for Singular Magnetic Schrödinger Operators

Published:2024-01-08 Issue:1 Volume:92 Page:25-39
ISSN:1424-9286
Container-title:Milan Journal of Mathematics
language:en
Short-container-title:Milan J. Math.

Author:

Correggi Michele^ORCID,Fermi Davide^ORCID

Abstract

AbstractWe show that the deficiency indices of magnetic Schrödinger operators with several local singularities can be computed in terms of the deficiency indices of operators carrying just one singularity each. We discuss some applications to physically relevant operators.

Funder

Politecnico di Milano

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00032-023-00390-5.pdf

Reference39 articles.

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2. Aharonov, Y., Bohm, D.: Significance of electromagnetic potentials in the quantum theory. Phys. Rev. 115, 485–491 (1959)

3. Aharonov, Y., Casher, A.: Ground state of a spin-$$1/2$$ charged particle in a two-dimensional magnetic field. Phys. Rev. A 19, 2461–2462 (1979)

4. Amrein, W.O.: Non-relativistic Quantum Dynamics. D. Reidel Publishing Company (1981)

5. Behncke, H., Focke, H.: Stability of deficiency indices. Proc. R. Soc. Edinb. A 78, 119–127 (1977)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Schrödinger Operators with Multiple Aharonov–Bohm Fluxes;Annales Henri Poincaré;2024-05-25

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