| Publication Type |
Journal Article |
| School or College |
College of Science |
| Department |
Physics |
| Creator |
Mattis, Daniel C. |
| Other Author |
Lieb, Elliott H. |
| Title |
Exact solution of a many-fermion system and its associated boson field |
| Date |
1965 |
| Description |
Luttinger's exactly soluble model of a one-dimensional many-fermion system is discussed. We show that he did not solve his model properly because of the paradoxical fact that the density operator commutators [p(p), p(-p')], which always vanish for any finite number of particles, no longer vanish in the field-theoretic limit of a filled Dirac sea. In fact the operators p(p) define a boson field which is ipso facto associated with the Fermi-Dirac field. |
| Type |
Text |
| Publisher |
American Institute of Physics (AIP) |
| Journal Title |
Journal of Mathematical Physics |
| Volume |
6 |
| Issue |
2 |
| First Page |
304 |
| Last Page |
312 |
| DOI |
10.1063/1.1704281 |
| citatation_issn |
222488 |
| Subject |
Many-electron problem; Fermi surface; Boson field; Dirac sea |
| Subject LCSH |
Many-body problem; Field theory (Physics); Perturbation (Mathematics); Fermions; Bosons |
| Language |
eng |
| Bibliographic Citation |
Mattis, D. C., & Lieb, E. H. (1965). Exact solution of a many-fermion system and its associated boson field. Journal of Mathematical Physics, 6(2), Feb., 304-12. |
| Rights Management |
(c)American Institute of Physics. The following article appeared in Mattis, D. C., & Lieb, E. H., Journal of Mathematical Physics, 6(2), 1965 and may be found at http://dx.doi.org/10.1063/1.1704281. |
| Format Medium |
application/pdf |
| Format Extent |
864,641 bytes |
| Identifier |
ir-main,8267 |
| ARK |
ark:/87278/s69g65f9 |
| Setname |
ir_uspace |
| ID |
707030 |
| Reference URL |
https://collections.lib.utah.edu/ark:/87278/s69g65f9 |
