output
19972022
most citedOn the metric operator for the imaginary cubic oscillator

121 citations

Showing 2009Show all

8 papers · 1 filter

nlin.SI2009★ 10 cited

Jordanian deformation of the open XXX-spin chain

P. P. Kulish, N. Manojlovic, Z. Nagy

The general solution to the reflection equation associated with the jordanian deformation of the SL(2) invariant Yang R-matrix is found. The same K-matrix is obtained by the specia…

math-ph2009★ 27 cited

A Deformation Quantization Theory for Non-Commutative Quantum Mechanics

N. C. Dias, M. A. de Gosson, F. Luef +1

We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a double phase space.…

nlin.SI2009★ 17 cited

Symmetries of spin systems and Birman-Wenzl-Murakami algebra

P. P. Kulish, N. Manojlovic, Z. Nagy

We consider integrable open spin chains related to the quantum affine algebras U_q(o(3)) and U_q(A_2^{(2)}). We discuss the symmetry algebras of these chains with the local C^3 spa…

math-ph2009★ 39 cited

Wigner Measures in Noncommutative Quantum Mechanics

C. Bastos, N. C. Dias, J. N. Prata

We study the properties of quasi-distributions or Wigner measures in the context of noncommutative quantum mechanics. In particular, we obtain necessary and sufficient conditions f…

math.DG2009★ 1 cited

A Spectral Bernstein Theorem

Pedro Freitas, Isabel Salavessa

We study the spectrum of the Laplace operator of a complete minimal properly immersed hypersurface in . (1) Under a volume growth condition on extrinsic balls and a c…

nlin.SI2009★ 69 cited

Bifurcations of Liouville Tori in Elliptical Billiards

Vladimir Dragovic, Milena Radnovic

A detailed description of topology of integrable billiard systems is given. For elliptical billiards and geodesic billiards on ellipsoid, the corresponding Fomenko graphs are const…

math-ph2009★ 2 cited

Elliptic Curves and a New Construction of Integrable Systems

Vladimir Dragovic, Borislav Gajic

A class of elliptic curves with associated Lax matrices is considered. A family of dynamical systems on e(3) parametrized by polynomial a with above Lax matrices are constructed. F…

math-ph2009★ 10 cited

Singular Manakov Flows and Geodesic Flows on Homogeneous Spaces

Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic

We prove complete integrability of the Manakov-type SO(n)-invariant geodesic flows on homogeneous spaces , for any choice of , $k…