83 citations · 273 across the 12 of their papers we have counts for
12 papers
Singular factorizations, self-adjoint extensions, and applications to quantum many-body physics
Edwin Langmann, Ari Laptev, Cornelius Paufler
We study self-adjoint operators defined by factorizing second order differential operators in first order ones. We discuss examples where such factorizations introduce singular int…
Generalized local interactions in 1D: solutions of quantum many-body systems describing distinguishable particles
Martin Hallnäs, Edwin Langmann, Cornelius Paufler
As is well-known, there exists a four parameter family of local interactions in 1D. We interpret these parameters as coupling constants of delta-type interactions which include dif…
Hamiltonian Multivector Fields and Poisson Forms in Multisymplectic Field Theory
Michael Forger, Cornelius Paufler, Hartmann Römer
We present a general classification of Hamiltonian multivector fields and of Poisson forms on the extended multiphase space appearing in the geometric formulation of first order cl…
Yang-Mills action from minimally coupled bosons on R^4 and on the 4D Moyal plane
Juha Loikkanen, Cornelius Paufler
We consider bosons on Euclidean R^4 that are minimally coupled to an external Yang-Mills field. We compute the logarithmically divergent part of the cut-off regularized quantum eff…
The Presentation of the Algebra of Observables of the Closed Bosonic String in 1+3 Dimensions: Calculation up to Order \hbar^7
G. Handrich, C. Paufler, J. B. Tausk +1
We proceed with the investigation of a method of quantization of the observable sector of closed bosonic strings. For the presentation of the quantum algebra of observables the con…
A general construction of Poisson brackets on exact multisymplectic manifolds
Michael Forger, Cornelius Paufler, Hartmann Römer
In this note the long standing problem of the definition of a Poisson bracket in the framework of a multisymplectic formulation of classical field theory is solved. The new bracket…