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Showing 1 to 11 of 11 for “"Semiclassical Approximation"”.
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Cauchy Slice Holography and the Semiclassical Approximation
… arbitrary boundary manifold---at least near the semiclassical regime. However, the $T^2$-deformed theory may be easier to UV complete, in which case it would be natural to take it as the definition of nonperturbative quantum gravity. We then explore the semiclassical approximation to canonical …
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Semiklassische Beschreibung des Spin-Boson-Modells
… <br>of a Wiener regularized expression, the semiclassical approximation <br>leads to a continuous minimal action path with jumps at the <br>endpoints. The resulting semiclassical propagator is shown to coincide <br>with the exact quantum mechanical propagator. A non-linear <br>transformation …
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Extremal effects in rotationally inelastic diffraction
… transition probability, calculated in the semiclassical approximation.
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Semiclassical Scattering for Two and Three Body Systems
Semiclassical scattering theory can be summarized as the study of connections between classical mechanics and quantum mechanics in the limit ℏ → 0 over the infinite time domain -∞ < t < ∞. After a brief discussion of Semiclassical Analysis and Scattering Theory we provide a rigorous result …
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The Born-Oppenheimer approximation in scattering theory
… with masses of order 1. The Born-Oppenheimer approximation consists of the adiabatic approximation to the motion of electrons and the semiclassical approximation to the time evolution of nuclei. The quantum propagator associated with this Schrödinger Equation is exp(-itH(â ¬)/â ¬<sup>2</sup>). …
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A trajectory-based approach to modeling nonlinear infrared spectra : interrogating strong hydrogen bonds and proton transfer
… cases not adequately addressed using current approximations, including liquid water, strong hydrogen bonds, and proton transfer reactions using ab initio calculations, model potentials, and molecular dynamics. Dynamical information is bestowed upon these trajectories through either a …
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A computational approach to spectroscopy of molecular systems : modeling, prediction, and design
… language of open quantum systems along with the semiclassical approximation for the linear and nonlinear response functions to numerically calculate nonlinear spectra . With this we can examine phenomena previously difficult with other methods, including non-Gaussian dynamics, correlated motions, …
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Semiclassical Methods in Finite Temperature Field Theory
Submitted by Carolyn Rauber (crauber2@illinois.edu) on 2011-06-03T16:54:15Z No. of bitstreams: 1 1981_noble.pdf: 3900265 bytes, checksum: 95af4c4eb39c993b10cb5c13a8602cc6 (MD5)
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Born-Oppenheimer Expansion for Diatomic Molecules with Large Angular Momentum
Semiclassical and Born-Oppenheimer approximations are used to provide uniform error bounds for the energies of diatomic molecules for bounded vibrational quantum number n and large angular momentum quantum number l. Specifically, results are given when (l + 1) < κ𝛜⁻³/². Explicit formulas for the …
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SEMICLASSICAL MOLECULAR DYNAMICS OF ADIABATIC AND NONADIABATIC PROCESSES
… more complicated and computationally daunting. Semiclassical methods are in part able to conciliate the best features of both worlds, allowing for an intuitive description of the underlying nuclear quantum dynamics based on classical molecular dynamics and at the same time keeping the …
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Theoretical methods for the study of quantum dynamics
… convergence of the approximate forward-backward semiclassical dynamics (FBSD) method has been accelerated by working with only the imaginary part of the real-time position and momentum time correlation functions. Simple manipulations allow the computationally favorable limit of a single …