J V Mullan and D S F Crothers 1994 J. Phys. A: Math. Gen. 27 3213 doi:10.1088/0305-4470/27/9/031
J V Mullan and D S F Crothers
Show affiliationsInitially, the canonical form H(J) of the Hamiltonian H(q,p)= 1/2 p2+ 1/2 omega 02q2+ lambda qalpha ( omega 0, lambda epsilon R and alpha >2), which represents a large class of anharmonic oscillators, is expressed in a closed form. This is a new result, as is the subsequent closed form of the pulsation omega (J). The connection between series reversion and inversion, as applied to generalized hypergeometric functions, is also considered and extended to apply to arbitrary series.
45.20.Jj Lagrangian and Hamiltonian mechanics
45.05.+x General theory of classical mechanics of discrete systems
33C05 Classical hypergeometric functions, 2F1
Issue 9 (7 May 1994)
J V Mullan and D S F Crothers 1994 J. Phys. A: Math. Gen. 27 3213
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