Quantum dynamics of the three‐dimensional F+H2 reaction. II. Scattering wave function density and flux analysis

1984 ◽  
Vol 81 (4) ◽  
pp. 1704-1715 ◽  
Author(s):  
Joe F. McNutt ◽  
Robert E. Wyatt ◽  
Michael J. Redmon
Keyword(s):  
Wave Function ◽  
Quantum Dynamics ◽  
Three Dimensional ◽  
Flux Analysis ◽  
Scattering Wave ◽  
Function Density

scholarly journals Quantum chaos for point scatterers on flat tori

2014 ◽  
Vol 372 (2007) ◽  
pp. 20120509 ◽  
Author(s):  
Henrik Ueberschär
Keyword(s):  
Wave Function ◽  
Strong Coupling ◽  
Quantum Chaos ◽  
Recent Progress ◽  
Three Dimensional ◽  
Point Scatterer ◽  
Open Problems ◽  
Survey Article ◽  
Delta Potential ◽  
Flat Tori

This survey article deals with a delta potential—also known as a point scatterer—on flat two- and three-dimensional tori. We introduce the main conjectures regarding the spectral and wave function statistics of this model in the so-called weak and strong coupling regimes. We report on recent progress as well as a number of open problems in this field.

scholarly journals Stabilized scattering wave-function calculations using the Lippmann-Schwinger equation for long conductor systems

2011 ◽  
Vol 84 (11) ◽  
Author(s):  
Shigeru Tsukamoto ◽  
Yoshiyuki Egami ◽  
Kikuji Hirose ◽  
Stefan Blügel
Keyword(s):  
Wave Function ◽  
Scattering Wave

MEMS Packaging with 3D-MID Technology

2011 ◽  
Vol 2011 (1) ◽  
pp. 000484-000490
Author(s):  
Nouhad Bachnak
Keyword(s):  
Mobile Phone ◽  
Electronic Circuit ◽  
Three Dimensional ◽  
Industrial Technology ◽  
Mems Packaging ◽  
Optical Circuits ◽  
Molded Interconnect Devices ◽  
Function Density

3D-MID (three dimensional molded interconnect devices) technology (which is already broadly used for 3D-MID mobile phone antennas) is also used for MEMS packaging and sensors applications. 3D-MID allows miniaturization by the integration of mechanical and electronic functions in one part. The 3D electronic circuit is integrated into a 3D plastic casing or carrier, making it possible to achieve much more compact construction and much greater function density. More and more applications involving electrical and electro-optical circuits are made using 3D-MID technology. Typical 3D-MID applications are: Sensor packaging, LED packaging, security casings, RFIDs and Antennas. The main areas of application are in the automotive, medical, industrial technology and telecommunications sectors.

A POINT-LIKE PICTURE OF THE HYDROGEN ATOM

2004 ◽  
Vol 15 (10) ◽  
pp. 1367-1376
Author(s):  
F. FAGHIHI ◽  
A. JANGJOO ◽  
M. KHANI
Keyword(s):  
Wave Function ◽  
Simple Model ◽  
Hydrogen Atom ◽  
Basic Principle ◽  
Correspondence Principle ◽  
Three Dimensional ◽  
Closed Shell ◽  
Dimensional Shape ◽  
Three Dimensional Shape ◽  
Probability Wave

A point-like picture of the Schrödinger solution for hydrogen atom is worked to emphasize that "point-like particles" may describe as "probability wave function". In each case, the three-dimensional shape of the |Ψnlm(rn, cos θ)|2 is plotted and the paths of the point-like electron (it is better to say reduced mass of the pair particles) are described in each closed shell. Finally, the orbital shape of the molecules are given according to the present simple model. In our opinion, "interpretations of the Correspondence Principle", which is a basic principle in all elementary quantum text, seems to be reviewed again!

SPATIAL CORRELATIONS OF CHAOTIC WAVE FUNCTIONS

1996 ◽  
Vol 10 (03n05) ◽  
pp. 69-80 ◽  
Author(s):  
VLADIMIR N. PRIGODIN ◽  
NOBUHIKO TANIGUCHI
Keyword(s):  
Wave Function ◽  
Joint Distribution ◽  
Energy Levels ◽  
Density Fluctuations ◽  
Wave Functions ◽  
Spatial Correlations ◽  
Large Fluctuations ◽  
Amplitude Correlation ◽  
Universal Law ◽  
Function Density

The statistics of the spatial correlations of eigenfunctions is investigated in chaotic systems with or without time-reversal symmetry. It is rigorously shown that wave functions corresponding to different energy levels are uncorrelated in space. At a given eigenstate, we find that though the background of wave function density fluctuates strongly, there exist the long-standing Friedel oscillations in wave function intensity. The joint distribution of the intensity at two separate space points is presented by the universal law with one parameter — the average amplitude correlation. This distribution encompasses two different regions: One with an independent joint distribution for small values of density fluctuations, and the other showing an increasing spatial correlation for the large fluctuations.

Photodissociation of CH2. VI. Three-dimensional quantum dynamics of the dissociation through the coupled 2A″ and 3A″ states

1997 ◽  
Vol 107 (15) ◽  
pp. 5757-5770 ◽  
Author(s):  
Geert-Jan Kroes ◽  
Marc C. van Hemert ◽  
G. D. Billing ◽  
Daniel Neuhauser
Keyword(s):  
Quantum Dynamics ◽  
Three Dimensional

PHASE STRUCTURE OF QED3 AT FINITE CHEMICAL POTENTIAL AND TEMPERATURE

2007 ◽  
Vol 22 (06) ◽  
pp. 449-456 ◽  
Author(s):  
MIN HE ◽  
HONG-TAO FENG ◽  
WEI-MIN SUN ◽  
HONG-SHI ZONG
Keyword(s):  
Phase Diagram ◽  
Wave Function ◽  
Symmetry Breaking ◽  
Quantum Electrodynamics ◽  
Phase Structure ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Three Dimensional ◽  
Mass Function ◽  
Wave Function Renormalization

We study the dynamical chiral symmetry breaking (DCSB) of three-dimensional quantum electrodynamics (QED3) at finite chemical potential and temperature in the framework of Dyson–Schwinger approach. Based on the rainbow approximation and assumption that the wave-function renormalization factor equals to one, the dynamically generated mass function is derived and then the corresponding phase diagram in the (T, μ) plane is obtained.

Second-Order Radiation Condition of Scattering Wave and Its Application

1990 ◽  
Vol 112 (3) ◽  
pp. 177-180
Author(s):  
J. Li ◽  
H. Huang
Keyword(s):  
Differential Operators ◽  
Three Dimensional ◽  
Radiation Condition ◽  
Second Order ◽  
Wave Forces ◽  
Interior Region ◽  
Linear Differential Operators ◽  
Scattering Wave ◽  
Linear Differential ◽  
Radiation Conditions

The first and second-order radiation conditions for scattering waves in two and three-dimensional problems have been derived by virtue of a sequence of linear differential operators. The wave forces on a large circular cylinder are computed by using finite element methods with first and second-order radiation conditions and the Sommerfeld condition, respectively. The results show that an improvement in accuracy is achieved by employing the second-order radiation condition. The interior region in which finite elements are employed can be restricted to a much smaller one, compared with that using the Sommerfeld condition and the computing efforts and required storage in the computer are reduced.

scholarly journals Space-time from Collapse of the Wave-function

2019 ◽  
Vol 74 (2) ◽  
pp. 147-152 ◽  
Author(s):  
Tejinder P. Singh
Keyword(s):  
Hilbert Space ◽  
Wave Function ◽  
Quantum Theory ◽  
Minkowski Space ◽  
Time Scales ◽  
Quantum Interference ◽  
Quantum Dynamics ◽  
Space Time ◽  
Minkowski Space Time ◽  
Macroscopic Objects

AbstractWe propose that space-time results from collapse of the wave function of macroscopic objects, in quantum dynamics. We first argue that there ought to exist a formulation of quantum theory which does not refer to classical time. We then propose such a formulation by invoking an operator Minkowski space-time on the Hilbert space. We suggest relativistic spontaneous localisation as the mechanism for recovering classical space-time from the underlying theory. Quantum interference in time could be one possible signature for operator time, and in fact may have been already observed in the laboratory, on attosecond time scales. A possible prediction of our work seems to be that interference in time will not be seen for ‘time slit’ separations significantly larger than 100 attosecond, if the ideas of operator time and relativistic spontaneous localisation are correct.

scholarly journals Symmetry selected quantum dynamics of few electrons in nanopillar transistors

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Yue-Min Wan ◽  
Heng-Tien Lin
Keyword(s):  
Quantum Number ◽  
Quantum Dynamics ◽  
Three Dimensional ◽  
Single Electron ◽  
Electron Hole ◽  
Current Voltage ◽  
Weak Symmetry ◽  
Current Voltage Characteristics ◽  
The One

AbstractStudy on single electron tunnel using current-voltage characteristics in nanopillar transistors at 298 K show that the mapping between the Nth electron excited in the central box ∼8.5 × 8.5 × 3 nm3 and the Nth tunnel peak is not in the one-to-one correspondence to suggest that the total number N of electrons is not the best quantum number for characterizing the quality of single electron tunnel in a three-dimensional quantum box transistor. Instead, we find that the best number is the sub-quantum number nz of the conduction z channel. When the number of electrons in nz is charged to be even and the number of electrons excited in the nx and ny are also even at two, the adding of the third electron into the easy nx/ny channels creates a weak symmetry breaking in the parity conserved x-y plane to assist the indirect tunnel of electrons. A comprehensive model that incorporates the interactions of electron-electron, spin-spin, electron-phonon, and electron-hole is proposed to explain how the excited even electrons can be stabilized in the electric-field driving channel. Quantum selection rules with hierarchy for the ni (i = x, y, z) and N = Σni are tabulated to prove the superiority of nz over N.

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