Magnetic Bloch analysis and Bochner Laplacians

Asch, J.; Over, Herbert; Seiler, R.

doi:10.1016/0393-0440(94)90035-3

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Magnetic Bloch analysis and Bochner Laplacians

Asch, J., Over, H., & Seiler, R. (1994). Magnetic Bloch analysis and Bochner Laplacians. Journal of Geometry and Physics, 13(3), 275-288. doi:10.1016/0393-0440(94)90035-3.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-98C4-E Version Permalink: https://hdl.handle.net/21.11116/0000-0009-9C5E-F

Genre: Journal Article

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Creators:
Asch, J.¹, Author
Over, Herbert², Author
Seiler, R.¹, Author

Affiliations:
1Technische Universität Berlin, MA 7-1, Strasse des 17. Juni 136, D-1000 Berlin 12, Germany, ou_persistent22
2Physical Chemistry, Fritz Haber Institute, Max Planck Society, ou_634546

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Abstract: Hamiltonians for a particle on a manifold in a magnetic field are constructed as Bochner Laplacians. We show for the case of a torus and a given magnetic field that they are in one to one correspondence with the constituents in the Bloch decomposition of the unique Hamiltonian on the universal covering.

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Language(s): eng - English

Dates: Modified: 1993-05-21Submitted: 1992-08-01Date issued: 1994-04

Publication Status: Issued

Pages: 14

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Rev. Type: Peer

Identifiers: DOI: 10.1016/0393-0440(94)90035-3

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Title: Journal of Geometry and Physics

Source Genre: Journal

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Publ. Info: Bologna : North-Holland

Pages: 14 Volume / Issue: 13 (3) Sequence Number: - Start / End Page: 275 - 288 Identifier: ISSN: 0393-0440
CoNE: https://pure.mpg.de/cone/journals/resource/954925529904