Exact time‐dependent wave packet propagation: Application to the photodissociation of methyl iodide

In this contribution, we discuss quantum effects on relic gravitons described by the Friedmann-Robertson-Walker (FRW) spacetime background by reducing the problem to that of a generalized time-dependent harmonic oscillator, and find the corresponding Schrödinger states with the help of the dynamical invariant method. Then, by considering a quadratic time-dependent invariant operator, we show that we can obtain the geometric phases and squeezed quantum states for this system. Furthermore, we also show that we can construct Gaussian wave packet states by considering a linear time-dependent invariant operator. In both cases, we also discuss the uncertainty product for each mode of the quantized field.

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Time-dependent wave packet study on trans-cis isomerization of HONO

The Journal of Chemical Physics ◽

10.1063/1.1651051 ◽

2004 ◽

Vol 120 (13) ◽

pp. 6072-6084 ◽

Cited By ~ 45

Author(s):

Falk Richter ◽

Pavel Rosmus ◽

Fabien Gatti ◽

Hans-Dieter Meyer

Keyword(s):

Wave Packet ◽

Time Dependent

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Basics of the time-dependent wave-packet propagation for photodissociations of polyatomic systems

International Journal of Quantum Chemistry ◽

10.1002/qua.25088 ◽

2016 ◽

Vol 116 (8) ◽

pp. 634-643 ◽

Cited By ~ 2

Author(s):

Kyoung Koo Baeck

Keyword(s):

Wave Packet ◽

Time Dependent ◽

Polyatomic Systems

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Solving Time-dependent Schrödinger Equation Using Gaussian Wave Packet Dynamics

Journal of the Korean Physical Society ◽

10.3938/jkps.73.1269 ◽

2018 ◽

Vol 73 (9) ◽

pp. 1269-1278

Author(s):

Min-Ho Lee ◽

Chang Woo Byun ◽

Nark Nyul Choi ◽

Dae-Soung Kim

Keyword(s):

Schrödinger Equation ◽

Wave Packet ◽

Schrodinger Equation ◽

Time Dependent ◽

Gaussian Wave Packet ◽

Wave Packet Dynamics

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QUANTUM DYNAMICS OF WAVE PACKET IN HARMONIC POTENTIAL

International Journal of Modern Physics B ◽

10.1142/s0217979205032425 ◽

2005 ◽

Vol 19 (24) ◽

pp. 3745-3754

Author(s):

ZHAN-NING HU ◽

CHANG SUB KIM

Keyword(s):

Schrödinger Equation ◽

Wave Packet ◽

Quantum Dynamics ◽

Schrodinger Equation ◽

Analytic Solution ◽

Nonlinear Differential Equations ◽

Time Dependent ◽

Dimensional System ◽

Two Dimensional ◽

Vibrational States

In this paper, the analytic solution of the time-dependent Schrödinger equation is obtained for the wave packet in two-dimensional oscillator potential. The quantum dynamics of the wave packet is investigated based on this analytic solution. To our knowledge, this is the first time we solve, analytically and exactly this kind of time-dependent Schrödinger equation in a two-dimensional system, in which the Gaussian parameters satisfy the coupled nonlinear differential equations. The coherent states and their rotations of the system are discussed in detail. We find also that this analytic solution includes four kinds of modes of the evolutions for the wave packets: rigid, rotational, vibrational states and a combination of the rotation and vibration without spreading.

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Theoretical investigations of the Au++H2 reactive scattering by the time-dependent quantum wave packet method

International Journal of Modern Physics B ◽

10.1142/s0217979217500394 ◽

2017 ◽

Vol 31 (06) ◽

pp. 1750039 ◽

Cited By ~ 3

Author(s):

Wentao Lee ◽

Haixiang He ◽

Maodu Chen

Keyword(s):

Wave Packet ◽

Cross Sections ◽

Collision Energy ◽

Time Dependent ◽

Reactive Scattering ◽

Total Reaction ◽

Theoretical Investigations ◽

Classical Trajectories ◽

Quantum Wave

Employing the state-to-state time-dependent quantum wave packet method, the Au[Formula: see text]H2 reactive scattering with initial states [Formula: see text], [Formula: see text] and 1 were investigated. Total reaction probabilities, product state-resolved integral cross-sections (ICSs) and differential cross-sections (DCSs) were calculated up to collision energy of 4.5 eV. The numerical results show that total reaction probabilities and ICSs increase with increasing collision energies, and there is little effect to the reactive scattering processes from the rotational excitation of H2 molecule. Below collision energy of around 3.0 eV, the role of the potential well in the entrance channel is significant and the reactive scattering proceeds dominantly by an indirect process, which leads to a nearly symmetric shape of the DCSs. With collision energy higher than 4.0 eV, the reactive scattering proceeds through a direct process, which leads to a forward biased DCSs, and also a hotter rotational distributions of the products. Total ICS agrees with the results by the quasi-classical trajectories theory very well, which suggests that the quantum effects in this reactive process are not obvious. However, the agreement between the experimental total cross-section and our theoretical result is not so good. This may be due to the uncertainty of the experiment or/and the inaccuracy of the potential energy surface.

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