Problemi ellittici nonlineari nella teoria di gauge di Chern-Simons
Properties of non-hermitian quantum field theories
In this paper I discuss quantum systems whose Hamiltonians are non-Hermitian but whose energy levels are all real and positive. Such theories are required to be symmetric under , but not symmetric under and separately. Recently, quantum mechanical systems having such properties have been investigated in detail. In this paper I extend the results to quantum field theories. Among the systems that I discuss are and theories. These theories all have unexpected and remarkable properties. I discuss...
Pseudo algebras and pseudo double categories.
-boson in quantum integrable systems.
-deformation of the Virasoro algebra and lattice conformal theories
-deformed superspace and -extended supersymmetric Hamiltonian with arbitrary superpotential
Quantification d'une variété symplectique
Quantized fields and operators on a partial inner product space
Quantum Barnes function as the partition function of the resolved conifold.
Quantum cohomology and its application.
Quantum dynamics on the worldvolume from classical cohomology.
Quantum Independent Increment Processes on Superalgebras.
Quantum mechanics and coherent states on the anti-de Sitter spacetime and their Poincaré contraction
Quantum mechanics and nonabelian theta functions for the gauge group SU(2)
We propose a direction of study of nonabelian theta functions by establishing an analogy between the Weyl quantization of a one-dimensional particle and the metaplectic representation on the one hand, and the quantization of the moduli space of flat connections on a surface and the representation of the mapping class group on the space of nonabelian theta functions on the other. We exemplify this with the cases of classical theta functions and of the nonabelian theta functions for the gauge group...
Quantum nonlinear Schrödinger equation. I. Intertwining operators
Quantum probability, renormalization and infinite-dimensional *-Lie algebras.
Quantum scattering by external metrics and Yang-Mills potentials
Quantum spacetime
Quantum spacetime: a disambiguation.
Quantum vacuum polarization at the Black-Hole horizon