Many-body Hamiltonians in implicitly defined frames

A general method for solving the problem of quantization of a top is proposed that allows for finding the Hamiltonian eigenfunctions in the form of polynomials of various degree n in the Cartesian coordinates with the use of the Lamé functions. All three coordinates x, y , and z are equivalently involved in computations, as well as their relations with ellipsoidal coordinates, which makes the computations symmetric.

Technical PhysicsAug 1, 20061 citation

Many-body Hamiltonians in implicitly defined frames

Antonio O. Bouzas

Published Sep 19, 2005• 0 citations

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Abstract

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-particle system in a broad class of body frames in terms of frame conditions and internal coordinates. We obtain several forms for the kinetic energy operator and compare them to related expressions in the literature.

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Many-body Hamiltonians in implicitly defined frames

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