Some Remarks on Complex Hamiltonian Systems
- The analyticity property of the one-dimensional complex Hamiltonian system H(x,p)=H_1(x_1,x_2,p_1,p_2)+iH_2(x_1,x_2,p_1,p_2) with p=p_1+ix_2, x=x_1+ip_2 is exploited to obtain a new class of the corresponding two-dimensional integrable Hamiltonian systems where H_1 acts as a new Hamiltonian and H_2 is a second integral of motion. Also a possible connection between H_1 and H_2 is sought in terms of an auto-B"acklund transformation.
Author: | R. S. Kaushal, H. J. Korsch |
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URN: | urn:nbn:de:hbz:386-kluedo-11415 |
Document Type: | Article |
Language of publication: | English |
Year of Completion: | 2000 |
Year of first Publication: | 2000 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/09/30 |
Tag: | Classical mechanics; PT-symmetry; complex phase space; integrable systems |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Physik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 530 Physik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |