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math-ph2024★ 1 cited
SU(2)-equivariant quantum channels: semiclassical analysis
Tommaso Aschieri, Błażej Ruba, Jan Philip Solovej
We study completely positive and trace-preserving equivariant maps between operators on irreducible representations of . We find asymptotic approximations of channe…
math-ph2024★ 5 cited
Point potentials on Euclidean space, hyperbolic space and sphere in any dimension
Jan Dereziński, Christian Gaß, Błażej Ruba
In dimensions d= 1, 2, 3 the Laplacian can be perturbed by a point potential. In higher dimensions the Laplacian with a point potential cannot be defined as a self-adjoint operator…
math-ph2024
Ground state energy of dense gases of strongly interacting fermions
Søren Fournais, Błażej Ruba, Jan Philip Solovej
We study the ground state energy of a gas of fermions confined to a unit box in dimensions. The particles interact through a 2-body potential with strength scaled in an …