Semiclassical propagation: Hilbert space vs. Wigner representation
نویسندگان
چکیده
منابع مشابه
Semiclassical Propagation: Hilbert Space vs. Wigner Representation
A unified viewpoint on the van Vleck and Herman-Kluk propagators in Hilbert space and their recently developed counterparts in Wigner representation is presented. It is shown that the numerical protocol for the Herman-Kluk propagator, which contains the van Vleck one as a particular case, coincides in both representations. The flexibility of the Wigner version in choosing the Gaussians’ width f...
متن کاملSemiclassical propagation of Wigner functions.
We present a comprehensive study of semiclassical phase-space propagation in the Wigner representation, emphasizing numerical applications, in particular as an initial-value representation. Two semiclassical approximation schemes are discussed. The propagator of the Wigner function based on van Vleck's approximation replaces the Liouville propagator by a quantum spot with an oscillatory pattern...
متن کاملReproducing Kernel Hilbert Space vs. Frame Estimates
We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω. We then identify conditions on these functions which automatically give H the structure of a reproducing kernel Hilbert space of functions on Ω. We further give an explicit formula for th...
متن کاملSemiclassical analysis of Wigner functions
Abstract. In this work we study the Wigner functions, which are the quantum analogues of the classical phase space density, and show how a full rigorous semiclassical scheme for all orders of h̄ can be constructed for them without referring to the actual coordinate space wavefunctions from which the Wigner functions are typically calculated. We find such a picture by a careful analysis around th...
متن کاملExact vs . Semiclassical Target Space of the Minimal String
We study both the classical and the quantum target space of (p, q) minimal string theory, using the FZZT brane as a probe. By thinking of the target space as the moduli space of FZZT branes, parametrized by the boundary cosmological constant x, we see that classically it consists of a Riemann surface Mp,q which is a p-sheeted cover of the complex x plane. However, we show using the dual matrix ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Chemical Physics
سال: 2018
ISSN: 0301-0104
DOI: 10.1016/j.chemphys.2018.02.009