Structure theory for second order 2D superintegrable systems with 1-parameter potentials.
Structured matrix numerical solution of the nonlinear Schrödinger equation by the inverse scattering transform.
Study of the behavior of quantum dynamics as
nonstandard bases: case of mutually unbiased bases.
Subgroups of the group of generalized Lorentz transformations and their geometric invariants.
Submanifold Dirac operators with torsion.
Sul comportamento asintotico della soluzione di un problema di radiazione
Sum of observables in fuzzy quantum spaces
We introduce the sum of observables in fuzzy quantum spaces which generalize the Kolmogorov probability space using the ideas of fuzzy set theory.
Super boson-fermion correspondence
We establish a super boson-fermion correspondence, generalizing the classical boson-fermion correspondence in 2-dimensional quantum field theory. A new feature of the theory is the essential non-commutativity of bosonic fields. The superbosonic fields obtained by the super bosonization procedure from super fermionic fields form the affine superalgebra . The converse, super fermionization procedure, requires introduction of the super vertex operators. As applications, we give vertex operator constructions...
Superconnections: an interpretation of the standard model.
Superfluidity in the stochastic limit.
Super-geometric quantization.
Superintegrable oscillator and Kepler systems on spaces of nonconstant curvature via the Stäckel transform.
Superpositions of states and a representation theorem
Supersymmetric extension of non-Hermitian Hamiltonian and supercoherent states.
Supersymmetric quantum mechanics and Painlevé IV equation.
Supersymmetric representations and integrable fermionic extensions of the Burgers and Boussinesq equations.
Supersymmetrical separation of variables in two-dimensional quantum mechanics.
Supersymmetry and Ghosts in Quantum Mechanics
2000 Mathematics Subject Classification: 81Q60, 35Q40.A standard supersymmetric quantum system is defined by a Hamiltonian [^H] = ½([^Q]*[^Q] +[^Q][^Q]*), where the super-charge [^Q] satisfies [^Q]2 = 0, [^Q] commutes with [^H]. So we have [^H] ≥ 0 and the quantum spectrum of [^H] is non negative. On the other hand Pais-Ulhenbeck proposed in 1950 a model in quantum-field theory where the d'Alembert operator [¯] = [(∂2)/( ∂t2)] − Δx is replaced by fourth order operator [¯]([¯] + m2), in order to...
Supersymmetry of affine Toda models as fermionic symmetry flows of the extended mkdv hierarchy.