Quantum dynamics of electronic transitions with Gauss-Hermite wave packets

2016 ◽  
Vol 144 (11) ◽  
pp. 114102 ◽  
Author(s):  
Raffaele Borrelli ◽  
Andrea Peluso
Keyword(s):  
Quantum Dynamics ◽  
Wave Packets ◽  
Electronic Transitions

scholarly journals COHERENT STATES OF QUANTUM NONLINEAR SYSTEMS

1995 ◽  
Vol 09 (28n29) ◽  
pp. 1839-1844 ◽  
Author(s):  
Z. HABA
Keyword(s):  
Nonlinear Systems ◽  
Wave Packet ◽  
Integrable Systems ◽  
Coherent States ◽  
Quantum Dynamics ◽  
Wave Packets

Quantum dynamics of integrable systems is discussed. Localized wave packets generalizing the conventional coherent states of minimal uncertainty are constructed. The wave packet moves along a certain trajectory and does not change its shape for times of order [Formula: see text].

scholarly journals Coordinated self-interference of wave packets: a new route towards classicality for structurally stable systems

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
M. Ćosić ◽  
S. Petrović ◽  
S. Bellucci
Keyword(s):  
Proton Beam ◽  
Structural Stability ◽  
Phase Function ◽  
Quantum Dynamics ◽  
Wave Packets ◽  
The Self ◽  
Levels Of Reality ◽  
Classical Behavior ◽  
Diffraction Patterns ◽  
Structurally Stable

Abstract This is a study of proton transmission through planar channels of tungsten, where a proton beam is treated as an ensemble of noninteracting wave packets. For this system, the structural stability manifests in an appearance of caustic lines, and as an equivalence of self-interference produced waveforms with canonical diffraction patterns. We will show that coordination between particle self-interference is an additional manifestation of the structural stability existing only in ensembles. The main focus of the analysis was on the ability of the coordination to produce classical structures. We have found that the structures produced by the self-interference are organized in a very different manner. The coordination can enhance or suppress the quantum aspects of the dynamics. This behavior is explained by distributions of inflection, undulation, and singular points of the ensemble phase function, and their bifurcations. We have shown that the coordination has a topological origin which allows classical and quantum levels of reality to exist simultaneously. The classical behavior of the ensemble emerges out of the quantum dynamics without a need for reduction of the quantum to the classical laws of motion.

Dispersion-free wave packets and feedback solitonic motion in controlled quantum dynamics

1997 ◽  
Vol 55 (1) ◽  
pp. 673-677 ◽  
Author(s):  
Metin Demiralp ◽  
Herschel Rabitz
Keyword(s):  
Quantum Dynamics ◽  
Wave Packets ◽  
Free Wave

scholarly journals Computing quantum dynamics in the semiclassical regime

Acta Numerica ◽  
2020 ◽  
Vol 29 ◽  
pp. 229-401
Author(s):  
Caroline Lasser ◽  
Christian Lubich
Keyword(s):  
Quantum Dynamics ◽  
Wave Packets ◽  
Time Integration ◽  
Classical Mechanics ◽  
High Dimensional ◽  
High Dimensions ◽  
Expectation Values ◽  
Direct Computation ◽  
Semiclassical Regime ◽  
Numerical Approaches

The semiclassically scaled time-dependent multi-particle Schrödinger equation describes, inter alia, quantum dynamics of nuclei in a molecule. It poses the combined computational challenges of high oscillations and high dimensions. This paper reviews and studies numerical approaches that are robust to the small semiclassical parameter. We present and analyse variationally evolving Gaussian wave packets, Hagedorn’s semiclassical wave packets, continuous superpositions of both thawed and frozen Gaussians, and Wigner function approaches to the direct computation of expectation values of observables. Making good use of classical mechanics is essential for all these approaches. The arising aspects of time integration and high-dimensional quadrature are also discussed.

Quantum dynamics of quasiparticles in a stochastic field and nonlinear dissipation of wave packets

1988 ◽  
Vol 131 (7-8) ◽  
pp. 449-453 ◽  
Author(s):  
E.N. Bratus' ◽  
S.A. Gredeskul ◽  
L.A. Pastur ◽  
V.S. Shumeyko
Keyword(s):  
Quantum Dynamics ◽  
Wave Packets ◽  
Nonlinear Dissipation ◽  
Stochastic Field
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