51 citations · 89 across the 5 of their papers we have counts for
5 papers
Balancing on the edge, the golden ratio, the Fibonacci sequence and their generalization
Gautam Dutta, Mitaxi Mehta, Praveen Pathak
The golden ratio and Fibonacci numbers are found to occur in various aspects of nature. We discuss the occurrence of this ratio in an interesting physical problem concerning center…
Geometric Phase in a Bose-Einstein Josephson Junction
Radha Balakrishnan, Mitaxi Mehta
We calculate the geometric phase associated with the time evolution of the wave function of a Bose-Einstein condensate system in a double-well trap by using a model for tunneling b…
Analytical perturbative approach to periodic orbits in the homogeneous quartic oscillator potential
M. Brack, S. N. Fedotkin, A. G. Magner +1
We present an analytical calculation of periodic orbits in the homogeneous quartic oscillator potential. Exploiting the properties of the periodic Lam{é} functions that describe th…
Semiclassical theory of spin-orbit interactions using spin coherent states
M. Pletyukhov, Ch. Amann, M. Mehta +1
We formulate a semiclassical theory for systems with spin-orbit interactions. Using spin coherent states, we start from the path integral in an extended phase space, formulate the…
Occurrence of periodic Lamé functions at bifurcations in chaotic Hamiltonian systems
M. Brack, M. Mehta, K. Tanaka
We investigate cascades of isochronous pitchfork bifurcations of straight-line librating orbits in some two-dimensional Hamiltonian systems with mixed phase space. We show that the…