The constrained normal form algorithm
Copyright policy )The constrained normal form algorithm
This paper describes an algorithm which brings a regularizable polynomial perturbation of a three degree of freedom Kepler problem into a normal form which Poisson commutes with the Kepler Hamiltonian. We illustrate the algorithm with an example: the quadratic Zeeman effect. The authors have written a program in MAPLE which implements the constrained normal form.
- Vrije Universiteit Amsterdam Netherlands
- Utrecht University Netherlands
- University Museum Utrecht Netherlands
regularizable polynomial perturbation, Kepler Hamiltonian, MAPLE, Two-body problems, Motion of charged particles, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Computational methods for problems pertaining to mechanics of particles and systems, three degree of freedom Kepler problem, quadratic Zeeman effect
regularizable polynomial perturbation, Kepler Hamiltonian, MAPLE, Two-body problems, Motion of charged particles, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Computational methods for problems pertaining to mechanics of particles and systems, three degree of freedom Kepler problem, quadratic Zeeman effect
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