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11 papers · 2 filters
Comment on: "On the consistency of solutions of the space fractional Schrödinger equation"
E. Hawkins, J. M. Schwarz
In [J. Math. Phys. 53, 042105 (2012)], Bayın claims to prove the consistency of the purported piece-wise solutions to the fractional Schrödinger equation for an infinite square wel…
Takiff superalgebras and Conformal Field Theory
A. Babichenko, D. Ridout
A class of non-semisimple extensions of Lie superalgebras is studied. They are obtained by adjoining to the superalgebra its adjoint representation as an abelian ideal. When the su…
Perturbative algebraic quantum field theory
Klaus Fredenhagen, Katarzyna Rejzner
These notes are based on the course given by Klaus Fredenhagen at the Les Houches Winter School in Mathematical Physics (January 29 - February 3, 2012) and the course "QFT for math…
Isolated Hadamard Matrices from Mutually Unbiased Product Bases
Daniel McNulty, Stefan Weigert
A new construction of complex Hadamard matrices of composite order d=pq, with primes p,q, is presented which is based on pairs of mutually unbiased bases containing only product st…
Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction
Pierre-Philippe Dechant
In this paper, we show that via a novel construction every rank-3 root system induces a root system of rank 4. Via the Cartan-Dieudonné theorem, an even number of successive Coxete…
On a Recent Construction of "Vacuum-like" Quantum Field States in Curved Spacetime
Christopher J. Fewster, Rainer Verch
Afshordi, Aslanbeigi and Sorkin have recently proposed a construction of a distinguished "S-J state" for scalar field theory in (bounded regions of) general curved spacetimes. We e…