37 citations · 90 across the 6 of their papers we have counts for
6 papers
Superiority of semiclassical over quantum mechanical calculations for a three-dimensional system
J. Main, G. Wunner, E. Atilgan +2
In systems with few degrees of freedom modern quantum calculations are, in general, numerically more efficient than semiclassical methods. However, this situation can be reversed w…
Contribution of forbidden orbits in the photoabsorption spectra of atoms and molecules in a magnetic field
A. Matzkin, P. A. Dando, T. S. Monteiro
In a previous work [Phys. Rev. A \textbf{66}, 0134XX (2002)] we noted a partial disagreement between quantum R-matrix and semiclassical calculations of photoabsorption spectra of m…
Cold atoms in optical lattices :a Hamiltonian ratchet
T. S. Monteiro, P. A. Dando, N. A. C. Hutchings +1
We investigate a new type of quantum ratchet which may be realised by cold atoms in a double-well optical lattice which is pulsed with unequal periods. The classical dynamics is ch…
Decimation and Harmonic Inversion of Periodic Orbit Signals
J. Main, P. A. Dando, Dz. Belkic +1
We present and compare three generically applicable signal processing methods for periodic orbit quantization via harmonic inversion of semiclassical recurrence functions. In a fir…
Semiclassical Quantization by Pade Approximant to Periodic Orbit Sums
J. Main, P. A. Dando, Dz. Belkic +1
Periodic orbit quantization requires an analytic continuation of non-convergent semiclassical trace formulae. We propose a method for semiclassical quantization based upon the Pade…
Periodic Orbit Theory for Rydberg Atoms in External Fields
P. A. Dando, T. S. Monteiro, S. M. Owen
Although hydrogen in external fields is a paradigm for the application of periodic orbits and the Gutzwiller trace formula to a real system, the trace formula has never been applie…