Time-dependent wave packet study ontrans-cisisomerization of HONO driven by an external field

We study the possibility of controlling a quantum rotor interacting with a time-dependent external field, namely, using a continuous or a piecewise continuous (bang-bang control) magnetic flux. Using the exact eigenfunctions we show how to steer a wave-packet constructed as a superposition of these eigenstates. In the first case we show how to steer a Gaussian wave-packet (GWP) to two other positions: one of them which would not be realized if the evolution were free, and the second is the one where wave-packet revival takes place. In the piecewise approach we implement a kind of tracking control, i.e. before steering it to the final target we achieve another given GWP.

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Magnetofluidic mixing of a ferrofluid droplet under the influence of a time-dependent external field

Journal of Fluid Mechanics ◽

10.1017/jfm.2021.245 ◽

2021 ◽

Vol 917 ◽

Author(s):

Sudip Shyam ◽

Pranab Kumar Mondal ◽

Balkrishna Mehta

Keyword(s):

External Field ◽

Time Dependent

Abstract

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Time-dependent wave-packet approach to the quantum transport of carbon nanotubes with vacancies

Surface Science ◽

10.1016/j.susc.2007.04.221 ◽

2007 ◽

Vol 601 (22) ◽

pp. 5266-5269 ◽

Cited By ~ 2

Author(s):

Hiroyuki Ishii ◽

Nobuhiko Kobayashi ◽

Kenji Hirose

Keyword(s):

Carbon Nanotubes ◽

Wave Packet ◽

Quantum Transport ◽

Time Dependent

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Low-Energy Electron-Induced Single Strand Breaks in 2′-Deoxycytidine-3′-monophosphate Using the Local Complex Potential Based Time-Dependent Wave Packet Approach

The Journal of Physical Chemistry A ◽

10.1021/jp207952x ◽

2011 ◽

Vol 115 (47) ◽

pp. 13753-13758 ◽

Cited By ~ 10

Author(s):

Renjith B ◽

Somnath Bhowmick ◽

Manoj K. Mishra ◽

Manabendra Sarma

Keyword(s):

Wave Packet ◽

Complex Potential ◽

Single Strand ◽

Low Energy ◽

Energy Electron ◽

Time Dependent ◽

Strand Breaks ◽

Single Strand Breaks ◽

Local Complex ◽

Low Energy Electron

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A comparative study of time dependent quantum mechanical wave packet evolution methods

The Journal of Chemical Physics ◽

10.1063/1.462870 ◽

1992 ◽

Vol 96 (3) ◽

pp. 2077-2084 ◽

Cited By ~ 61

Author(s):

Thanh N. Truong ◽

John J. Tanner ◽

Piotr Bala ◽

J. Andrew McCammon ◽

Donald J. Kouri ◽

...

Keyword(s):

Wave Packet ◽

Comparative Study ◽

Time Dependent ◽

Quantum Mechanical ◽

Mechanical Wave ◽

Quantum Mechanical Wave Packet

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GEOMETRIC PHASES, SQUEEZED QUANTUM STATES AND GAUSSIAN WAVE PACKET STATES OF RELIC GRAVITONS

International Journal of Modern Physics Conference Series ◽

10.1142/s2010194512008136 ◽

2012 ◽

Vol 18 ◽

pp. 13-17

Author(s):

K. BAKKE ◽

I. A. PEDROSA ◽

C. FURTADO

Keyword(s):

Wave Packet ◽

Linear Time ◽

Invariant Operator ◽

Quantum States ◽

Time Dependent ◽

Gaussian Wave Packet ◽

Geometric Phases ◽

Uncertainty Product ◽

Quantized Field ◽

Generalized Time

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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