Liouville integrability

 

Liouville integrable classical systems

• J. Hietarinta: Direct methods for the search of the second invariant, Physics Reports 147, 87-154 (1987).
• B. Dorizzi, B. Grammaticos, J. Hietarinta, A. Ramani and F. Schwarz: New integrable three dimensional quartic potentials, Phys. Lett. A 116, 432-436 (1986).
• A. Ramani, B. Dorizzi, B. Grammaticos and J. Hietarinta: Linearization on a submanifold of integrable Hamiltonians with polynomial potentials, Physica D 18, 171-179 (1986).
• J. Hietarinta: How to construct integrable Fokker-Planck and electromagnetic Hamiltonians from ordinary integrable Hamiltonians, J. Math. Phys. 26, 1970-1975 (1985).
• B. Grammaticos, B. Dorizzi, A. Ramani and J. Hietarinta: Extending integrable Hamiltonian systems from 2 to N dimensions, Phys. Lett. A 109, 81-84 (1985).
• A. Ramani, J. Hietarinta, B. Dorizzi and B. Grammaticos: Complete Painlevé analysis for coupled quartic oscillators in N dimensions, Phys. Lett. A 108, 55-58 (1985).
• J. Hietarinta, B. Grammaticos, B. Dorizzi, and A. Ramani: Coupling-Constant Metamorphosis and Duality between Integrable Hamiltonian Systems, Phys. Rev. Lett. 53, 1707-1710 (1984).
• J. Hietarinta: New integrable Hamiltonians with transcendental invariants, Phys. Rev. Lett. 52, 1057-1060 (1984).
• J. Hietarinta: Integrable families of Henon-Heiles type Hamiltonians and a new duality, Phys. Rev. A 28, 3670-3672 (1983).
• J. Hietarinta: A search for integrable two-dimensional hamiltonian systems with polynomial potential, Phys. Lett. A 96, 273-278 (1983).

Pure quantum integrability

• J. Hietarinta: Pure quantum integrability, Phys. Lett. A 246, 97-104 (1998).
• J. Hietarinta: Solvability in quantum mechanics and classically superfluous invariants, J. Phys. A: Math. Gen. 22, L143-L147 (1989).

Quantum versions of classically integrable systems

• J. Hietarinta and B. Grammaticos: On the hbar^2-correction terms in quantum mechanics, J. Phys. A: Math. Gen. 22, 1315-1322 (1989).
• J. Hietarinta: Classical versus quantum integrability, J. Math. Phys. 25, 1833-1840 (1984).
• J. Hietarinta, B. Dorizzi, B. Grammaticos et A. Ramani: Sur l’integrabilite quantique des systemes hamiltoniens classiquement integrables, C. R. Acad. Sc. Paris, Serie II, 297, 791-794 (1983).
• J. Hietarinta: Quantum integrability is not a trivial consequence of classical integrability, Phys. Lett. A 93, 55-57
  (1982).

Miscellaneous

• J. Hietarinta: Nambu tensors and commuting vector fields, J. Phys. A: Math. Gen. 30, L27-L33 (1997).
• A. Elipe, J. Hietarinta and S. Tompaidis: Comment on a paper by S. Kasperczuk, Celest. Mech. 58: 387-391 (1994), Celest. Mech. 62, 191-192 (1995).
• J. Hietarinta, H. Yoshida, A. Ramani and B. Grammaticos: On the nonintegrability of a class of Hamiltonian systems, Europhys. Lett. 5, 195-198 (1988).
• H. Yoshida, A. Ramani, B. Grammaticos and J. Hietarinta: On the non-integrability of some generalized Toda lattices, Physica A 144, 310-321 (1987).