We test the ability of semiclassical theory to describe quantitatively the revival of quantum wave packets-a long time phenomena-in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are considered: time-dependent WKB and Van Vleck propagation. We show that both approaches describe with impressive accuracy the autocorrelation function and wave function ...

The van Vleck determinant is an ubiquitous object, arising in many physically interesting situations such as: (1) WKB approximations to quantum time evolution operators and Green functions. (2) Adiabatic approximations to heat kernels. (3) One loop approximations to functional integrals. (4) The theory of caustics in geometrical optics and ultrason-ics. (5) The focussing and defocussing of geod...

A systematic method for calculating higher-order corrections of the relativistic semiclassical fixed-energy amplitude is given. The central scheme in computing corrections of all orders is related to a time ordering operation of an operator involving the Van Vleck determinant. This study provides us a new viewpoint for quantization. PACS 03.20.+i; 04.20.Fy; 02.40.+m Typeset using REVTEX ∗e-mail...

We investigate the 5d transition metal oxide BaOsO$_3$ within a combination of density functional theory (DFT) and dynamical mean-field (DMFT), using matrix-product-state impurity solver. has 4 electrons in t$_{2g}$ shell akin to ruthenates but stronger spin-orbit coupling (SOC) is thus expected reveal an interplay Hund's behavior with SOC. explore paramagnetic phase diagram as function SOC Hub...