Completeness of Scattering States for Rough Interfaces

1992 ◽  
Author(s):  
David H. Berman
Keyword(s):  
Scattering States ◽  
Rough Interfaces

Completeness of scattering states for rough interfaces

1992 ◽  
Vol 220 (2) ◽  
pp. 212-228 ◽  
Author(s):  
David H. Berman
Keyword(s):  
Scattering States ◽  
Rough Interfaces

scholarly journals Effective Interactions of Relativistic Composite Particles in Unified Nonlinear Spinor-Field Models. I

1985 ◽  
Vol 40 (1) ◽  
pp. 14-28
Author(s):  
H. Stumpf
Keyword(s):  
Spinor Field ◽  
Bound States ◽  
Composite Particle ◽  
Composite Particles ◽  
Statistical Interpretation ◽  
Particle Spectrum ◽  
Nonlinear Spinor ◽  
Effective Interactions ◽  
Scattering States ◽  
Diagonal Part

Unified nonlinear spinor field models are selfregularizing quantum field theories in which all observable (elementary and non-elementary) particles are assumed to be bound states of fermionic preon fields. Due to their large masses the preons themselves are confined. In preceding papers a functional energy representation, the statistical interpretation and the dynamical equations were derived. In this paper the dynamics of composite particles is discussed. The composite particles are defined to be eigensolutions of the diagonal part of the energy representation. Corresponding calculations are in preparation, but in the present paper a suitable composite particle spectrum is assumed. It consists of preon-antipreon boson states and threepreon- fermion states with corresponding antifermions and contains bound states as well as preon scattering states. The state functional is expanded in terms of these composite particle states with inclusion of preon scattering states. The transformation of the functional energy representation of the spinor field into composite particle functional operators produces a hierarchy of effective interactions at the composite particle level, the leading terms of which are identical with the functional energy representation of a phenomenological boson-fermion coupling theory. This representation is valid as long as the processes are assumed to be below the energetic threshold for preon production or preon break-up reactions, respectively. From this it can be concluded that below the threshold the effective interactions of composite particles in a unified spinor field model lead to phenomenological coupling theories which depend in their properties on the bound state spectrum of the self-regularizing spinor theory.

scholarly journals Dalgarno–Lewis perturbation theory for scattering states

2007 ◽  
Vol 367 (3) ◽  
pp. 182-187
Author(s):  
Paolo Amore ◽  
Francisco M. Fernández
Keyword(s):  
Perturbation Theory ◽  
Scattering States

scholarly journals Microscale simulation of adhesive and cohesive failure in rough interfaces

2017 ◽  
Vol 178 ◽  
pp. 416-432 ◽  
Author(s):  
Franz Hirsch ◽  
Markus Kästner
Keyword(s):  
Cohesive Failure ◽  
Rough Interfaces
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