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 …

Publisher Summary This chapter discusses the morphologies of caustics and their diffraction
patterns. In catastrophe optics, wave motion is viewed in terms of the contrast and interplay …

Publisher Summary This chapter describes how the current understanding of conical refraction
has been acquired after nearly two centuries of theoretical and experimental studies. A …

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 …

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 …

The authors calculate semiclassical limiting level spacing distributions P (S) for systems
whose classical energy surface is divided into a number of separate region in which motion is …

The function W ( t ) ≡ ∑ n = − ∞ ∞ [ ( 1 − e i γ n t ) e i ϕ n ] γ ( 2 − D ) n ( 1 < D < 2 , γ > 1 , ϕ
n = arbitrary phases ) is continuous but non-differentiable and possesses no scale. The …

We show that for a wave ll; in the form of an Airy function the probability density Mil!
propagates in free space without distortion and with constant acceleration. This “Airy packet" …

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 …

A summary, with references and additional comments, of a talk delivered at the Second
International Workshop on Pseudohermitian Hamiltonians in Quantum Physics (Prague, 14-16 …