Discrepancy in the temperature behavior of the modified impulse approximation and the third sum rule

1991 ◽  
Vol 44 (1) ◽  
pp. 419-420 ◽  
Author(s):  
G. Solt
Keyword(s):  
Impulse Approximation ◽  
Temperature Behavior ◽  
Sum Rule ◽  
The Third

Correlation effects on the third-frequency-moment sum rule of electron liquids

1987 ◽  
Vol 35 (6) ◽  
pp. 3003-3004 ◽  
Author(s):  
Naoki Iwamoto ◽  
E. K. U. Gross
Keyword(s):  
Correlation Effects ◽  
Sum Rule ◽  
The Third ◽  
Electron Liquids

Distorted-wave impulse-approximation evaluation of sum rule for hypernuclear formation in forward (K−,π−)

1978 ◽  
Vol 17 (4) ◽  
pp. 1501-1504 ◽  
Author(s):  
G. N. Epstein ◽  
F. Tabakin ◽  
C. M. Vincent ◽  
A. Gal ◽  
L. S. Kisslinger
Keyword(s):  
Impulse Approximation ◽  
Distorted Wave ◽  
Sum Rule ◽  
Distorted Wave Impulse Approximation

Helicity-dependent reaction γd → π0d near the η-threshold and its contribution to the E-asymmetry and the GDH sum rule for the deuteron

2015 ◽  
Vol 24 (08) ◽  
pp. 1550064 ◽  
Author(s):  
Eed M. Darwish ◽  
A. Hemmdan ◽  
N. T. El-Shamy
Keyword(s):  
Cross Sections ◽  
Potential Model ◽  
Spin Asymmetry ◽  
Deuteron Wave Function ◽  
Impulse Approximation ◽  
Wave Functions ◽  
Sum Rule ◽  
Higher Order Terms ◽  
Deuteron Spin ◽  
Gdh Sum Rule

The helicity-dependent coherent π0-photoproduction in the reaction γd → π0d near the η-threshold is investigated. The calculations are performed within an approach which includes the reaction amplitudes of the impulse approximation (IA), two-step process with intermediate πN- and ηN-rescattering, and the higher order terms in the multiple scattering series for the intermediate ηNN interaction. The contribution of γd → π0d to the deuteron spin asymmetry is calculated and its contribution to the Gerasimov–Drell–Hearn (GDH) integral is explicitly evaluated by integration up to a photon energy of 900 MeV. In addition, the helicity E-asymmetry is calculated. The results revealed that the doubly polarized differential cross-sections and the helicity E-asymmetry are sensitive to the interference of rescattering effects, specially at photon energies 600–800 MeV and extreme backward pion angles. The sensitivity of the obtained results for the GDH integral to the choice of NN potential model governing the deuteron wave function is discussed. We find that the deviation among results obtained for the deuteron GDH integral using different deuteron wave functions is quite large.

Recombination and dissociation of diatomic molecules

1971 ◽  
Vol 320 (1543) ◽  
pp. 487-503 ◽  
Keyword(s):  
Recombination Rate ◽  
Bound States ◽  
Molecular Level ◽  
Impulse Approximation ◽  
Approximate Expression ◽  
Quantum Mechanical ◽  
Third Body ◽  
The Third ◽  
Quantum Mechanical Scattering ◽  
Mechanical Scattering

The dissociation and recombination of a diatomic molecule in the presence of a third body is considered on the basis of the quantum mechanical scattering theory. The scattering of the third body by the molecule is expressed in terms of the scattering of the third body by the constituent atoms of the molecule, both for the Born approximation and for the impulse approximation. The rate of recombination to a particular molecular level is given by an integral of the differential cross-section for the scattering of the third body by the constituent atoms of the molecule. By integrating over the bound states of the molecule, an approximate expression is obtained for the recombination rate to all levels. The recombination rate to all levels is expressed in terms of the rate of diffusion of the third bodies in a gas of the dissociated atoms.

scholarly journals On the General Properties of Non-linear Optical Conductivities

2020 ◽  
Vol 181 (6) ◽  
pp. 2050-2070
Author(s):  
Haruki Watanabe ◽  
Yankang Liu ◽  
Masaki Oshikawa
Keyword(s):  
Electric Fields ◽  
Optical Conductivity ◽  
Current Response ◽  
Many Body ◽  
Third Order ◽  
Sum Rule ◽  
The Third ◽  
General Properties ◽  
Many Body Systems ◽  
Non Equilibrium

AbstractThe optical conductivity is the basic defining property of materials characterizing the current response toward time-dependent electric fields. In this work, following the approach of Kubo’s response theory, we study the general properties of the nonlinear optical conductivities of quantum many-body systems both in equilibrium and non-equilibrium. We obtain an expression of the second- and the third-order optical conductivity in terms of correlation functions and present a perturbative proof of the generalized Kohn formula proposed recently. We also discuss a generalization of the f-sum rule to a non-equilibrium setting by focusing on the instantaneous response.

scholarly journals Violation of no-signaling in higher-order quantum measure theories

2016 ◽  
Vol 14 (05) ◽  
pp. 1650024
Author(s):  
Karthik S. Joshi ◽  
R. Srikanth ◽  
Urbasi Sinha
Keyword(s):  
Quantum Mechanics ◽  
Sum Rules ◽  
Measure Theory ◽  
Probability Measures ◽  
Sum Rule ◽  
The Third ◽  
Quantum Measure ◽  
No Signaling ◽  
Superluminal Signaling ◽  
Physical Principles

More general probability sum-rules for describing interference found in quantum mechanics (QM) were formulated by Sorkin in a hierarchy of such rules. The additivity of classical measure theory corresponds to the second sum-rule. QM violates this rule, but satisfies the third and higher sum-rules. This evokes the question of whether there are physical principles that forbid their violation. We show that in a theory that is indistinguishable from quantum mechanics in first and second-order interferences, the violation of higher sum-rules allows for superluminal signaling, essentially because probability measures can be contextual in such theories.

Progress report on 21-cm observations at low latitude between longitudes (l 11) 0° and 66°

1967 ◽  
Vol 31 ◽  
pp. 177-179
Author(s):  
W. W. Shane
Keyword(s):  
Preliminary Report ◽  
Progress Report ◽  
Galactic Centre ◽  
Low Latitude ◽  
The Third ◽  
Introductory Lecture ◽  
Centre Region

In the course of several 21-cm observing programmes being carried out by the Leiden Observatory with the 25-meter telescope at Dwingeloo, a fairly complete, though inhomogeneous, survey of the regionl11= 0° to 66° at low galactic latitudes is becoming available. The essential data on this survey are presented in Table 1. Oort (1967) has given a preliminary report on the first and third investigations. The third is discussed briefly by Kerr in his introductory lecture on the galactic centre region (Paper 42). Burton (1966) has published provisional results of the fifth investigation, and I have discussed the sixth in Paper 19. All of the observations listed in the table have been completed, but we plan to extend investigation 3 to a much finer grid of positions.

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

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