101 citations · 791 across the 61 of their papers we have counts for
62 papers
Heat Kernel on Warped Products
Ivan G. Avramidi
We study the spectral properties of the scalar Laplacian on a -dimen\-sional warped product manifold with a -dimensional compact manifold without boun…
On Zero Energy States in SUSY Quantum Mechanics on Manifolds
Ivan G. Avramidi
We study the zero modes of the operator , with a Dirac type operator , acting on the spinor bundle over a closed even dimensional Riemannian manifold . The op…
Geometric Deformation of Quantum Mechanics
Ivan G. Avramidi, Roberto Niardi
We develop a novel approach to Quantum Mechanics that we call Curved Quantum Mechanics. We introduce an infinite-dimensional Kähler manifold , that we call the state mani…
MOND via Matrix Gravity
Ivan G. Avramidi, Roberto Niardi
MOND theory has arisen as a promising alternative to dark matter in explaining the collection of discrepancies that constitute the so-called missing mass problem. The MOND paradigm…
Spectral Asymptotics of Elliptic Operators on Manifolds
Ivan G. Avramidi
The study of spectral properties of natural geometric elliptic partial differential operators acting on smooth sections of vector bundles over Riemannian manifolds is a central the…
Heat Semigroups on Weyl Algebra
Ivan G. Avramidi
We study the algebra of semigroups of Laplacians on the Weyl algebra. We consider first-order partial differential operators forming the Lie algebra $[\nabla^\pm_j,\…