1,720 research outputs found
On Integrability and Pseudo-Hermitian Systems with Spin-Coupling Point Interactions
We study the pseudo-Hermitian systems with general spin-coupling point
interactions and give a systematic description of the corresponding boundary
conditions for PT-symmetric systems. The corresponding integrability for both
bosonic and fermionic many-body systems with PT-symmetric contact interactions
is investigated.Comment: 7 page
p-Adic Schr\"{o}dinger-Type Operator with Point Interactions
A -adic Schr\"{o}dinger-type operator is studied.
() is the operator of fractional differentiation and
is a singular potential containing the Dirac delta
functions concentrated on points of the field of
-adic numbers . It is shown that such a problem is well-posed
for and the singular perturbation is form-bounded for
. In the latter case, the spectral analysis of -self-adjoint
operator realizations of in is carried
out
Remarks on some new models of interacting quantum fields with indefinite metric
We study quantum field models in indefinite metric. We introduce the modified
Wightman axioms of Morchio and Strocchi as a general framework of indefinite
metric quantum field theory (QFT) and present concrete interacting relativistic
models obtained by analytical continuation from some stochastic processes with
Euclidean invariance. As a first step towards scattering theory in indefinite
metric QFT, we give a proof of the spectral condition on the translation group
for the relativistic models.Comment: 13 page
Four-Parameter Point-Interaction in 1-D Quantum Systems
We construct a four-parameter point-interaction for a non-relativistic
particle moving on a line as the limit of a short range interaction with range
tending toward zero. For particular choices of the parameters, we can obtain a
delta-interaction or the so-called delta'-interaction. The Hamiltonian
corresponding to the four-parameter point-interaction is shown to correspond to
the four-parameter self-adjoint Hamiltonian of the free particle moving on the
line with the origin excluded.Comment: 6 pages, Plain Tex file. BU-HEP-92-
Many Body Problems with "Spin"-Related Contact Interactions
We study quantum mechanical systems with "spin"-related contact interactions
in one dimension. The boundary conditions describing the contact interactions
are dependent on the spin states of the particles. In particular we investigate
the integrability of -body systems with -interactions and point spin
couplings. Bethe ansatz solutions, bound states and scattering matrices are
explicitly given. The cases of generalized separated boundary condition and
some Hamiltonian operators corresponding to special spin related boundary
conditions are also discussed.Comment: 13 pages, Late
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