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Generalized dispersion relations
Il Nuovo Cimento, 1958General dispersion relations for reactionsa+b →a′+c+d have been obtained. The possible cases of (γ+p → 2γ+p) scattering have been indicated, for which dispersion relations do not contain unobservable range of energy.
Logunov, A. A., Tavkhelidze, A. N.
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Dispersion relation for effective interactions
Physical Review C, 1990It is argued that the real and imaginary parts of the effective potential operator for scattering problems obey a dispersion relation also when the Hamiltonian is not Hermitian. Model calculations are used to demonstrate that the equivalent local potential approximately satisfies the dispersion relation when absorption is present. It is also shown that
, Carlson +4 more
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Bound States and Dispersion Relations
Physical Review, 1960A vertex closely related to the Bethe-Salpeter amplitude is discussed in the one meson exchange approximation by dispersion theory methods. Both scalar and spinor cases are treated. The relation between anomalous thresholds and the Schr\"odinger equation is discussed in some detail.
Blankenbecler, R., Cook, L. F. jun.
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Superconvergent dispersion relations
Annals of Physics, 1968Abstract The more general aspects of the saturation problem for superconvergent dispersion relations are reviewed and discussed. It is found that complete sets of superconvergence conditions for forward amplitudes generally have solutions corresponding to higher collinear symmetries of the vertices.
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Relativistic Pion-Hyperon Dispersion Relations
Physical Review, 1960Relativistic, fixed momentum-transfer dispersion relations are derived (but not proved) for pion scattering from $\ensuremath{\Sigma}$ and $\ensuremath{\Lambda}$ particles and the processes $\ensuremath{\pi}+\ensuremath{\Lambda}\ensuremath{\leftrightarrows}\ensuremath{\pi}+\ensuremath{\Sigma}$.
Capps, Richard H., Nauenberg, Michael
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1972
The understanding of the basic properties of phonons has been increased very much during the last decade mainly due to inelastic neutron scattering. Successful models have been developed which allow a satisfactory description of simple insulators and metals with a few parameters.1 Difficulties arise with crystals of highly polarizable ions and such of ...
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The understanding of the basic properties of phonons has been increased very much during the last decade mainly due to inelastic neutron scattering. Successful models have been developed which allow a satisfactory description of simple insulators and metals with a few parameters.1 Difficulties arise with crystals of highly polarizable ions and such of ...
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2002
As we showed in Chap. 3, the solution of the wave equation can be expressed as a sum of plane waves. This remark, which justifies the use of plane waves to analyze continuous models holds in the discrete case [116]. The purpose of this section is to show how to find dispersion relations corresponding to (3.6), (3.15) and (3.24) for the discrete ...
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As we showed in Chap. 3, the solution of the wave equation can be expressed as a sum of plane waves. This remark, which justifies the use of plane waves to analyze continuous models holds in the discrete case [116]. The purpose of this section is to show how to find dispersion relations corresponding to (3.6), (3.15) and (3.24) for the discrete ...
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Dispersion Relations for Bloch Functions
Physical Review, 1960It is shown that the Floquet factor ${e}^{\mathrm{ik}(E)a}$ is analytic in the upper half complex energy plane, thus enabling a set of four dispersion relations to be derived from this expression as a direct result of the application of Cauchy's theorem.
Kaus, Peter E., Watson, W. K. R.
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Il Nuovo Cimento, 1956
A formalism is developed whereby dispersion relations may be obtained for all meson-nucleon scattering processes, including those in which mesons are created or destroyed. A suitable kinematical description of the processes is first given and a new amplitude is defined in terms of it. This amplitude has two important properties.
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A formalism is developed whereby dispersion relations may be obtained for all meson-nucleon scattering processes, including those in which mesons are created or destroyed. A suitable kinematical description of the processes is first given and a new amplitude is defined in terms of it. This amplitude has two important properties.
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