Bound states of (1+1)-dimensional Dirac equation with kink-like vector potential and delta interaction
نویسندگان
چکیده
منابع مشابه
Neutral Bound States in Kink-like Theories
In this paper we present an elementary derivation of the semi-classical spectrum of neutral particles in a field theory with kink excitations. In the nonintegrable cases, we show that each vacuum state cannot generically support more than two stable particles, since all other neutral exitations are resonances, which will eventually decay. A phase space estimate of these decay rates is also give...
متن کاملInstability of bound states of a nonlinear Schrödinger equation with a Dirac potential
We study analytically and numerically the stability of the standing waves for a nonlinear Schrödinger equation with a point defect and a power type nonlinearity. A main difficulty is to compute the number of negative eigenvalues of the linearized operator around the standing waves, and it is overcome by a perturbation method and continuation arguments. Among others, in the case of a repulsive d...
متن کاملThe Bound States of Dirac Equation with a Scalar Potential by Vatsal Dwivedi Thesis
We study the bound states of the 1 + 1 dimensional Dirac equation with a scalar potential, which can also be interpreted as a position dependent “mass”, analytically as well as numerically. We derive a Prüfer-like representation for the Dirac equation, which can be used to derive a condition for the existence of bound states in terms of the fixed point of the nonlinear Prüfer equation for the a...
متن کاملElementary Doublets of Bound States of the Radial Dirac Equation
For non-relativistic Schrödinger equations the lowering of their degree by substitution Ψ(r) → F (r) = Ψ ′ (r)/Ψ(r) is known to facilitate our understanding and use of their (incomplete, so called quasi-exact) solvability. We show that and how the radial Dirac relativistic equation may quasi-exactly be solved in similar spirit.
متن کاملDirac delta potential problem
We show that the N = 2 superextended 1D quantum Dirac delta potential problem is characterized by the hidden nonlinear su(2|2) superunitary symmetry. The supersymmetry admits three distinct Z2-gradings, that results in a separation of 16 integrals of motion into different sets of 8 bosonic and 8 fermionic operators generating two nonlinear, deformed forms of su(2|2), in which the Hamiltonian pl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Mathematicae Applicatae Sinica, English Series
سال: 2015
ISSN: 0168-9673,1618-3932
DOI: 10.1007/s10255-015-0521-1