The Eckart frame Hamiltonians in the three-body problem
A. V. Meremianin
TL;DR
This paper derives explicit expressions for the rotational and vibro-rotational Hamiltonians in the quantum three-body problem using the Eckart frame, with special focus on cases with equal principal moments of inertia.
Contribution
It provides new explicit formulas for the Eckart frame Hamiltonians in the quantum three-body problem, including special cases with equal moments of inertia.
Findings
Explicit expressions for rotational Hamiltonians derived.
Special treatment for equal principal moments of inertia.
Enhanced understanding of collective rotations in quantum three-body systems.
Abstract
The Eckart frame is used to separate out the collective rotations in the quantum three-body problem. Explicit expressions for the corresponding rotational and vibro-rotational (i.e. Coriolis) Hamiltonians are derived. Special attention is paid to the situation when two principal moments of inertia are equal in the equilibrium configuration.
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