Exact invariants for time-dependent nonlinear Hamiltonian systems
Two methods, one based on canonical transformations and one based on an assumed structure, are used to determine exact invariants for certain Hamiltonians of the type H = 1/2 p/sup 2/ + V(q,t). Invariants are found explicitly for a class of nonlinear, time-dependent potentials V(q,t). The former method is then developed to find exact invariants for Hamiltonians of the form H = H(q,p,rho(t),rho(t)).
- Research Organization:
- Los Alamos National Lab., NM (USA); La Trobe Univ., Bundoora (Australia). Dept. of Applied Mathematics
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 5653267
- Report Number(s):
- LA-UR-81-3355; CONF-810385-4; ON: DE82004331
- Country of Publication:
- United States
- Language:
- English
Similar Records
Direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians
Exact invariants for time-dependent Hamiltonian systems
Representations of one-dimensional Hamiltonians in terms of their invariants
Journal Article
·
Tue Nov 30 23:00:00 EST 1982
· J. Math. Phys. (N.Y.); (United States)
·
OSTI ID:6898371
Exact invariants for time-dependent Hamiltonian systems
Conference
·
Thu Dec 31 23:00:00 EST 1981
·
OSTI ID:6042581
Representations of one-dimensional Hamiltonians in terms of their invariants
Journal Article
·
Fri Jan 31 23:00:00 EST 1992
· Journal of Mathematical Physics (New York); (United States)
·
OSTI ID:5399540