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Stability of bound states of Hamiltonian PDEs in the degenerate cases
Hamiltonian PDEs degenerate cases Analysis of PDEs
2011/9/14
Abstract: We consider a Hamiltonian systems which is invariant under a one-parameter unitary group. We give a criterion for the stability and instability of bound states for the degenerate case. We ap...
We describe a method of solving quantum field theories using operator techniques based on the expansion of interacting fields in terms of asymptotic fields. For bound states, we introduce an asymptoti...
On resonances and bound states of the 't Hooft-Polyakov monopole
resonances bound states 't Hooft-Polyakov monopole
2011/3/3
We present a systematic approach to the linearised Yang-Mills-Higgs equations in the background of a 't Hooft-Polyakov monopole and use it to unify and extend previous studies of their spectral proper...
Numerical Continuation of resonances and bound states in coupled channel Schrödinger equations
Resonances Numerical Continuation Coupled Channels Schr¨odinger equation
2011/1/17
In this contribution, we introduce numerical continuation methods and bifurcation theory, techniques which find their roots in the study of dynamical systems,to the problem of tracing the parameter de...
On Duffin-Kemmer-Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound states for the one-dimensional inversely linear background
Duffin-Kemmer-Petiau theory nonminimal coupling Klein’s paradox
2010/12/1
The problem of spin-0 and spin-1 bosons in the background of a general mixing of minimal and
nonminimal vector inversely linear potentials is explored in a unified way in the context of the Duffin-Ke...
The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity - Bound States
Dirac Particles Non-Abelian Gauge Fields Gravity - Bound States
2010/11/2
We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang-Mills field. The corresponding Einstein-Dirac-Yang/Mills equations are deriv...