Most modern physicists and philosophers would agree that a decent interpretation of
quantum mechanics should fullfil at least two criteria. Firstly, it has to elucidate the physical …

We prove here that the semiclassical asymptotic expansion for the propagation of quantum
observables, for C\sp∞-Hamiltonians growing at most quadratically at infinity, is uniformly …

In this paper we construct a sequence of eigenfunctions of the``quantum Arnold's cat
map''that, in the semiclassical limit, shows a strong scarring phenomenon on the periodic …

Batterman has recently argued that fundamental theories are typically explanatorily
inadequate, in that there exist physical phenomena whose explanation requires that the …

We prove six theorems concerning exponentially accurate semiclassical quantum
mechanics. Two of these theorems are known results, but have new proofs. Under …

We derive an extension of the standard time-dependent WKB theory, which can be applied
to propagate coherent states and other strongly localized states for long times. It in particular …

We consider the quantized hyperbolic automorphisms on the 2-dimensional torus (or
generalized quantum cat maps), and study the localization properties of their eigenstates in …

We describe the quantum-mechanical spreading of a Gaussian wave packet by means of
the semiclassical WKB approximation of Berry and Balazs [J. Phys. A 2, 625 (1979)]. We find …

The two archetypal ensembles of random matrices are Wigner real symmetric (Hermitian)
random matrices and Wishart sample covariance real (complex) random matrices. In this …

We consider the semiclassical Schrödinger equation on R d given by i ħ∂ t ψ=(− ħ 2 2 Δ+ W
l (x)) ψ+ V (t, x) ψ, where W l is an anharmonic trapping of the form W l (x)= 1 2 l∑ j= 1 dxj 2 l …