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math-ph2025★ 3 cited
Analytic semigroups approaching a Schrödinger group on real foliated metric manifolds
Rudrajit Banerjee, Max Niedermaier
On real metric manifolds admitting a co-dimension one foliation, sectorial operators are introduced that interpolate between the generalized Laplacian and the d'Alembertian. This i…
math-ph2020
Bonus Properties of States of Low Energy
R. Banerjee, M. Niedermaier
States of Low Energy (SLE) are exact Hadamard states defined on arbitrary Friedmann-Lemaître spacetimes. They are constructed from a fiducial state by minimizing the Hamiltonian's…
math-ph2018★ 3 cited
Graph rules for the linked cluster expansion of the Legendre effective action
Rudrajit Banerjee, Max Niedermaier
Graph rules for the linked cluster expansion of the Legendre effective action are derived and proven in Euclidean dimensions. A key aspect is the weight assigned t…