TY - JOUR
A1 - Kaushal, R. S.
A1 - Korsch, H. J.
T1 - Some Remarks on Complex Hamiltonian Systems
N2 - 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.
KW - Classical mechanics
KW - integrable systems
KW - complex phase space
KW - PT-symmetry
Y1 - 2000
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1206
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-11415
ER -