An eigenvalue problem for a fermi system and lie algebras
- Steeb, Willi-Hans, Hardy, Yorick
- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2013-04-15
- Subjects: Schrodinger equation , Eigenvalues , Lie algebras , Hamilton operators , Fermi Hamilton operators
- Type: Article
- Identifier: uj:5977 , http://hdl.handle.net/10210/8442
- Description: Please refer to full text to view abstract
- Full Text:
- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2013-04-15
- Subjects: Schrodinger equation , Eigenvalues , Lie algebras , Hamilton operators , Fermi Hamilton operators
- Type: Article
- Identifier: uj:5977 , http://hdl.handle.net/10210/8442
- Description: Please refer to full text to view abstract
- Full Text:
Exceptional points, nonnormal matrices, hierarchy of spin matrices and an eigenvalue problem
- Steeb, Willi-Hans, Hardy, Yorick
- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2013-02-08
- Subjects: Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5979 , http://hdl.handle.net/10210/8444
- Description: Exceptional points are studied for non-hermitian Hamilton operators given by a hierarchy of spin-operators.
- Full Text:
- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2013-02-08
- Subjects: Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5979 , http://hdl.handle.net/10210/8444
- Description: Exceptional points are studied for non-hermitian Hamilton operators given by a hierarchy of spin-operators.
- Full Text:
Investigations into the ranks of regular graphs
- Authors: Garner, Charles R.
- Date: 2012-08-17
- Subjects: Graph theory , Graphic methods , Spectral theory (Mathematics) , Eigenvalues
- Type: Thesis
- Identifier: uj:2622 , http://hdl.handle.net/10210/6069
- Description: Ph.D. , In this thesis, the ranks of many types of regular and strongly regular graphs are determined. Also determined are ranks of regular graphs under unary operations: the line graph, the complement, the subdivision graph, the connected cycle, the complete subdivision graph, and the total graph. The binary operations considered are the Cartesian product and the complete product. The ranks of the Cartesian product of regular graphs have been investigated previously in [BBD1]; here, we summarise and extend those results to include more regular graphs. We also examine a special nonregular graph, the path. Ranks of paths and products of graphs involving paths are presented as well
- Full Text:
- Authors: Garner, Charles R.
- Date: 2012-08-17
- Subjects: Graph theory , Graphic methods , Spectral theory (Mathematics) , Eigenvalues
- Type: Thesis
- Identifier: uj:2622 , http://hdl.handle.net/10210/6069
- Description: Ph.D. , In this thesis, the ranks of many types of regular and strongly regular graphs are determined. Also determined are ranks of regular graphs under unary operations: the line graph, the complement, the subdivision graph, the connected cycle, the complete subdivision graph, and the total graph. The binary operations considered are the Cartesian product and the complete product. The ranks of the Cartesian product of regular graphs have been investigated previously in [BBD1]; here, we summarise and extend those results to include more regular graphs. We also examine a special nonregular graph, the path. Ranks of paths and products of graphs involving paths are presented as well
- Full Text:
Spin Hamilton operators, symmetry breaking, energy level crossing and entanglement
- Steeb, Willi-Hans, Hardy, Yorick, De Greef, Jacqueline
- Authors: Steeb, Willi-Hans , Hardy, Yorick , De Greef, Jacqueline
- Date: 2012-01-27
- Subjects: Hilbert spaces , Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5975 , http://hdl.handle.net/10210/8440
- Description: © Willi-Hans Steeb, Yorick Hardy and Jacqueline de Greef, 2012 Available online: http://arxiv.org/abs/1110.4204v2 , We study finite-dimensional product Hilbert spaces, coupled spin systems, entanglement and energy level crossing. The Hamilton operators are based on the Pauli group. We show that swapping the interacting term can lead from unentangled eigenstates to entangled eigenstates and from an energy spectrum with energy level crossing to avoided energy level crossing.
- Full Text:
- Authors: Steeb, Willi-Hans , Hardy, Yorick , De Greef, Jacqueline
- Date: 2012-01-27
- Subjects: Hilbert spaces , Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5975 , http://hdl.handle.net/10210/8440
- Description: © Willi-Hans Steeb, Yorick Hardy and Jacqueline de Greef, 2012 Available online: http://arxiv.org/abs/1110.4204v2 , We study finite-dimensional product Hilbert spaces, coupled spin systems, entanglement and energy level crossing. The Hamilton operators are based on the Pauli group. We show that swapping the interacting term can lead from unentangled eigenstates to entangled eigenstates and from an energy spectrum with energy level crossing to avoided energy level crossing.
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Spin-Hamilton operator, graviton-photon coupling and an eigenvalue problem
- Hardy, Yorick, Steeb, Willi-Hans
- Authors: Hardy, Yorick , Steeb, Willi-Hans
- Date: 2012-09-28
- Subjects: Spin-Hamilton operator , Graviton-photon coupling , Eigenvalues
- Type: Article
- Identifier: uj:5973 , http://hdl.handle.net/10210/8418
- Description: We solve exactly the eigenvalue problem for a spin Hamilton operator describing graviton-photon coupling. Entanglement of the eigenstates are also studied.
- Full Text:
- Authors: Hardy, Yorick , Steeb, Willi-Hans
- Date: 2012-09-28
- Subjects: Spin-Hamilton operator , Graviton-photon coupling , Eigenvalues
- Type: Article
- Identifier: uj:5973 , http://hdl.handle.net/10210/8418
- Description: We solve exactly the eigenvalue problem for a spin Hamilton operator describing graviton-photon coupling. Entanglement of the eigenstates are also studied.
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