The Faddeev equation and essential spectrum of a model operator associated with the Hamiltonian of nonconserved number of particles
A model describing a truncated operator H (truncated with respect to the number of particles) and acting in the direct sum of zero-, one-, and two-particle subspaces of fermionic Fock space over is investigated. The location of the essential spectrum of the model operator H is described by means of...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/35701/1/The%20Faddeev%20Equation%20and%20the%20Essential%20Spectrum%20of.pdf http://psasir.upm.edu.my/id/eprint/35701/ http://www.hindawi.com/journals/amp/2014/943868/abs/ |
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| Summary: | A model describing a truncated operator H (truncated with respect to the number of particles) and acting in the direct sum of zero-, one-, and two-particle subspaces of fermionic Fock space over is investigated. The location of the essential spectrum of the model operator H is described by means of the spectrum of the Friedreich model . Moreover, for the resolvent of H, the Faddeev type system of integral equations is obtained. |
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