153 research outputs found
The Generalized PT-Symmetric Sinh-Gordon Potential Solvable within Quantum Hamilton-Jacobi Formalism
The generalized Sinh-Gordon potential is solved within quantum Hamiltonian
Jacobi approach in the framework of PT symmetry. The quasi exact solutions of
energy eigenvalues and eigenfunctions of the generalized Sinh-Gordon potential
are found for n=0,1 states.Comment: 10 pages appear to in IJT
Connection Formulae for Asymptotics of Solutions of the Degenerate Third Painlev\'{e} Equation. I
The degenerate third Painlev\'{e} equation, , where ,
and , and the associated tau-function are studied via the
Isomonodromy Deformation Method. Connection formulae for asymptotics of the
general as and solution and general regular as and solution are obtained.Comment: 40 pages, LaTeX2
Exact form factors for the scaling Z{N}-Ising and the affine A{N-1}-Toda quantum field theories
Previous results on form factors for the scaling Ising and the sinh-Gordon
models are extended to general -Ising and affine -Toda quantum
field theories. In particular result for order, disorder parameters and
para-fermi fields and are
presented for the -model. For the -Toda model all form factors
for exponentials of the Toda fields are proposed. The quantum field equation of
motion is proved and the mass and wave function renormalization are calculated
exactly.Comment: Latex, 11 page
Excited states nonlinear integral equations for an integrable anisotropic spin 1 chain
We propose a set of nonlinear integral equations to describe on the excited
states of an integrable the spin 1 chain with anisotropy. The scaling
dimensions, evaluated numerically in previous studies, are recovered
analytically by using the equations. This result may be relevant to the study
on the supersymmetric sine-Gordon model.Comment: 15 pages, 2 Figures, typos correcte
Bethe Ansatz and Classical Hirota Equation
We discuss an interrelation between quantum integrable models and classical
soliton equations with discretized time. It appeared that spectral
characteristics of quantum integrable systems may be obtained from entirely
classical set up. Namely, the eigenvalues of the quantum transfer matrix and
the scattering -matrix itself are identified with a certain -functions
of the discrete Liouville equation. The Bethe ansatz equations are obtained as
dynamics of zeros. For comparison we also present the Bethe ansatz equations
for elliptic solutions of the classical discrete Sine-Gordon equation. The
paper is based on the recent study of classical integrable structures in
quantum integrable systems, hep-th/9604080.Comment: 15 pages, Latex, special World Scientific macros include
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