Michał Wrochna

Exactly Solvable Schrödinger Operators

We systematically describe and classify one-dimensional Schrödinger equations that can be solved in terms of hypergeometric type functions. Beside the well-known families, we explicitly describe two new classes of exactly solvable Schrödinger equations that can be reduced to the Hermite equation.

Construction of Hadamard states by characteristic Cauchy problem

We construct Hadamard states for Klein-Gordon fields in a spacetime

Classical phase space and Hadamard states in the BRST formalism for gauge field theories on curved spacetime

M_{0}

Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry

equal to the interior of the future lightcone

Quantum Field Theory in Static External Potentials and Hadamard States

C

On-shell Extension of Distributions

from a base point

Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes

p

The holographic Hadamard condition on asymptotically anti-de Sitter spacetimes

in a globally hyperbolic spacetime

Continuous and holomorphic functions with values in closed operators

(M, g)

Hadamard States for the Linearized Yang–Mills Equation on Curved Spacetime

. Under some regularity conditions at future infinity of