A quantal system in an eigenstate, slowly transported round a circuit C by varying parameters
R in its Hamiltonian Ĥ(R), will acquire a geometrical phase factor exp{iγ(C)} in addition to …

We review various methods of deriving expressions for quantum-mechanical quantities in
the limit when hslash is small (in comparison with the relevant classical action functions). To …

In 1955 Pancharatnam showed that a cyclic change in the state of polarization of light is
accompanied by a phase shift determined by the geometry of the cycle as represented on the …

When an ultrasonic pulse, containing, say, ten quasi-sinusoidal oscillations, is reflected in
air from a rough surface, it is observed experimentally that the scattered wave train contains …

In the regular spectrum of an f-dimensional system each energy level can be labelled with f
quantum numbers originating in f constants of the classical motion. Levels with very different …

In this follow‐up to their successful first book, Data Mining Techniques, Michael JA Berry and
Gordon S. Linoff offer a case study‐based guide to best practices in commercial data mining…

The spectral rigidity ⊿(L) of a set of quantal energy levels is the mean square deviation of
the spectral staircase from the straight line that best fits it over a range of L mean level …

How Do Action Potentials Represent Information? given that the price of home video systems
is strongly Action potentials are the standard signal conveyed berelated to how many gray …

The form of the wavefunction psi for a semiclassical regular quantum state (associated with
classical motion on an N-dimensional torus in the 2N-dimensional phase space) is very …

Rationale: Heterogeneity in asthma expression is multidimensional, including variability in
clinical, physiologic, and pathologic parameters. Classification requires consideration of …