Phys. Rev. D 17, 1172–1177 (1978)Generalized Jost functions and Levinson's theorem in a (1 + 1)-dimensional relativistic field-theoretic modelReceived 12 October 1977; published in the issue dated 15 February 1978 By introducing generalized Jost functions with simple analytic properties we express the exact S matrix of the massive Thirring model (sine-Gordon model) for the fermion-fermion and the two fermion-antifermion channels (soliton-soliton and soliton-antisoliton) in a form very similar to that encountered in one-dimensional potential scattering. Relations between the number of bound states and the phase shifts of the direct and crossed channels (generalized Levinson's theorem) are discussed within this relativistic model. © 1978 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.17.1172
DOI:
10.1103/PhysRevD.17.1172
PACS:
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.