On the infrared problem in a model of scalar electrons and massless, scalar bosons
On the integrability of the generalized Yang-Mills system
We consider a hamiltonian system which, in a special case and under the gauge group SU(2), can be considered as a reduction of the Yang-Mills field equations. We prove explicitly, using the Lax spectral curve technique and the van Moerbeke-Mumford method, that the flows generated by the constants of motion are straight lines on the Jacobi variety of a genus two Riemann surface.
On the Klainerman–Machedon conjecture for the quantum BBGKY hierarchy with self-interaction
We consider the 3D quantum BBGKY hierarchy which corresponds to the -particle Schrödinger equation. We assume the pair interaction is . For the interaction parameter , we prove that, provided an energy bound holds for solutions to the BBKGY hierarchy, the limit points satisfy the space-time bound conjectured by S. Klainerman and M. Machedon [45] in 2008. The energy bound was proven to hold for in [28]. This allows, in the case , for the application of the Klainerman–Machedon uniqueness theorem...
On the large order asymptotics of general states in semiclassical quantum mechanics
On the lattice structure of quantum logics
On the leading correction of the Thomas-Fermi model: Lower bound.
On the Lebesgue decomposition of a function relative to a -ideal of an orthomodular lattice
On the Lebesgue decomposition of the normal states of a JBW-algebra
In this article, a theorem is proved asserting that any linear functional defined on a JBW-algebra admits a Lebesque decomposition with respect to any normal state defined on the algebra. Then we show that the positivity (and the unicity) of this decomposition is insured for the trace states defined on the algebra. In fact, this property can be used to give a new characterization of the trace states amoungst all the normal states.
On the mass spectrum of Higgs particles
On the mini-superambitwistor space and super-Yang-Mills theory.
On the need to adapt de Finetti's probability interpretation to QM
von Neumann's reliance on the von Mises frequentist interpretation is discussed and compared with the Dutchbook approach proposed by de Finetti.
On the nonrelativistic limit of the Dirac hamiltonian
On the number of bound states of a bosonic N-particle Coulomb system.
On the origin of the harmonic term in noncommutative quantum field theory.
On the point limit of the Pauli-Fierz model
On the polarizers of compact semi-simple Lie groups. Applications
On the principle of stability of invariance of physical systems
On the problem of classifying simple compact quantum groups
We review the notion of simple compact quantum groups and examples, and discuss the problem of construction and classification of simple compact quantum groups.
On the problem of defining a specific theory within the frame of local quantum physics
On the product of self-adjoint operators.