Time-Dependent Wave Packet Study of the O + O2(v= 0,j= 0) Exchange Reaction†

2003 ◽  
Vol 107 (37) ◽  
pp. 7215-7219 ◽  
Author(s):  
Ka-Lo Yeh ◽  
Daiqian Xie ◽  
Dong H. Zhang ◽  
Soo-Y Lee ◽  
Reinhard Schinke
2013 ◽  
Vol 12 (04) ◽  
pp. 1350030
Author(s):  
LIN-BO JI ◽  
TING-XIAN XIE ◽  
HONG-YAN WANG

The quantum time dependent wave packet (TDWP) and quasiclassical trajectory (QCT) calculations were carried out to study the exchange reaction H(2S) + H′S(2Π) → HS(2Π) + H′(2S) on the 1A′ potential energy surface (PES). The integral cross sections of the H + H′S (v = j = 0) → HS + H′ reaction calculated by the two methods were presented. The results reveal that the integral cross sections (ICS) decrease with the collision energy increasing. The result of the QCT calculations is reasonably consistent with the time-dependent wave packet. Moreover, the differential cross sections (DCS) were calculated by the QCT method at the four different collision energies, which display a forward–backward symmetry. A long-lifetime H2S intermediate complex of the exchange reaction was found according to the trajectories. In the stereodynamics investigation, the polar and dihedral angle distribution functions were calculated, which have the distinct oscillations. The oscillations could be attributed to the deep well on the 1A′ PES. However, based on the polar-angle and dihedral angle distribution functions, it could be predicted that the main product rotational angular momentum preferentially point to the positive or negative direction of y-axes.


Author(s):  
Narayanasami Sathyamurthy ◽  
Susanta Mahapatra

Starting from a model study of the collinear (H, H2) exchange reaction in 1959, the time-dependent quantum mechanical wave packet (TDQMWP) method has come a long way in dealing with systems as large as Cl + CH4.


2007 ◽  
Vol 601 (22) ◽  
pp. 5266-5269 ◽  
Author(s):  
Hiroyuki Ishii ◽  
Nobuhiko Kobayashi ◽  
Kenji Hirose

1992 ◽  
Vol 96 (3) ◽  
pp. 2077-2084 ◽  
Author(s):  
Thanh N. Truong ◽  
John J. Tanner ◽  
Piotr Bala ◽  
J. Andrew McCammon ◽  
Donald J. Kouri ◽  
...  

Author(s):  
K. BAKKE ◽  
I. A. PEDROSA ◽  
C. FURTADO

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.


2004 ◽  
Vol 120 (13) ◽  
pp. 6072-6084 ◽  
Author(s):  
Falk Richter ◽  
Pavel Rosmus ◽  
Fabien Gatti ◽  
Hans-Dieter Meyer
Keyword(s):  

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