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Degenerate Systems and Mass Singularities
For a system with degenerate energies, the power series expansions of the s-matrix elements may become singular. An elementary quantum mechanical theorem is proved which shows that under certainExpand
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New Periodic Orbits for the n-Body Problem
Since the discovery of the figure-8 orbit for the three-body problem [Moore 1993] a large number of periodic orbits of the n-body problem with equal masses and beautiful symmetries have beenExpand
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Singularities and Scaling Functions at the Potts-Model Multicritical Point
Differential renormalization equation for the $q$-state Potts model are proposed, and the critical behavior of the model near $q={q}_{c}$ discussed. The equations give rise to critical andExpand
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Robert Hooke’s Seminal Contribution to Orbital Dynamics
Abstract.During the second half of the seventeenth century, the outstanding problem in astronomy was to understand the physical basis for Kepler’s laws describing the observed orbital motion of aExpand
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Theory and experiments on the ice-water front propagation in droplets freezing on a subzero surface
An approximate theory is presented describing the propagation of the ice-water front that develops in droplets of water that are deposited on a planar surface at a temperature below the melting pointExpand
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Stability and Eccentricity for Two Planets in a 1:1 Resonance, and Their Possible Occurrence in Extrasolar Planetary Systems
The nonlinear stability domain of Lagrange's celebrated 1772 solution of the three-body problem is obtained numerically as a function of the masses of the bodies and the common eccentricity of theirExpand
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Correlated wave packet treatment of neutrino and neutral meson oscillations [Phys. Lett. B 447 (1999) 23]
A quantum wave packet treatment of neutrino and neutral K and B meson oscillations is presented which incorporates the recoil particle in the production process, and includes the effect of theExpand
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