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- Austrian Academy of SciencesAT65 papers
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7 papers · 2 filters
Quantum mechanics in phase space: The Schrödinger and the Moyal representations
Nuno Costa Dias, Maurice de Gosson, Franz Luef +1
We present a phase space formulation of quantum mechanics in the Schrödinger representation and derive the associated Weyl pseudo-differential calculus. We prove that the resulting…
Towards an operator-algebraic construction of integrable global gauge theories
Gandalf Lechner, Christian Schützenhofer
The recent construction of integrable quantum field theories on two-dimensional Minkowski space by operator-algebraic methods is extended to models with a richer particle spectrum,…
Reduction operators of Burgers equation
Oleksandr A. Pocheketa, Roman O. Popovych
The solution of the problem on reduction operators and nonclassical reductions of the Burgers equation is systematically treated and completed. A new proof of the theorem on the sp…
Disordered Bose Einstein Condensates with Interaction in One Dimension
R. Seiringer, J. Yngvason, V. A. Zagrebnov
We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. W…
On Lagrangian Theory for Rotating Charge Coupled to the Maxwell Field
Valeriy Imaykin, Alexander Komech, Herbert Spohn
We justify the Hamilton least action principle for the Maxwell-Lorentz equations with Abraham's rotating extended electron. The main novelty in the proof is application of the vari…
Lieb-Robinson Bounds for the Toda Lattice
Umar Islambekov, Robert Sims, Gerald Teschl
We establish locality estimates, known as Lieb-Robinson bounds, for the Toda lattice. In contrast to harmonic models, the Lieb-Robinson velocity for these systems do depend on the…