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Noninvertible Bogoliubov transformations and instability of embedded eigenvalues
| Title: | Noninvertible Bogoliubov transformations and instability of embedded eigenvalues |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | transformations | | igenvalues | | instability | | bosons | | fock representation | | annihilation operators | | creation operators | | scattering theory | | uses | | quantum field theory | | hamiltonians | | harmonic oscillators | | coupling | | scalar fields | | quantization |
| Issue Date: | Jul-1991 |
| Publisher: | American Institute of Physics |
| Journal Title: | Journal of Mathematical Physics |
| Volume: | 32 |
| Issue: | 7 |
| Start Page: | 1838 |
| End Page: | 1846 |
| Publisher DOI: | 10.1063/1.529248 |
| Abstract: | A class of noninvertible Bogoliubov transformations in an abstract Boson Fock space is used to construct in the Fock space a family of self-adjoint operators H which are quadratic in the annihilation and the creation operators and are of the form H=H0+HI with the property that the unperturbed part H0 may have embedded-eigenvalues unstable under the perturbation HI. Scattering theory associated with the pair (H0,H) is also discussed. In application to quantum field theory, the family of the operators H gives a unified description for the Hamiltonians of models of a quantum harmonic oscillator coupled to a quantized scalar or radiation field. |
| Rights: | Copyright © 1991 American Institute of Physics |
| Relation: | http://www.aip.org/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/13675 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 新井 朝雄
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