Ivan G. Avramidi

collaborators

3 papers

math-ph2025

Heat Kernel on Warped Products

Ivan G. Avramidi

We study the spectral properties of the scalar Laplacian on a $n$ -dimen\-sional warped product manifold $M = I^£ \times_{f} N$ with a $(n - 1)$ -dimensional compact manifold $N$ without bou…

math-ph2025

On Zero Energy States in SUSY Quantum Mechanics on Manifolds

Ivan G. Avramidi

We study the zero modes of the operator $H_{f} = D_{f}^{*} D_{f}$ , with a Dirac type operator $D_{f}$ , acting on the spinor bundle over a closed even dimensional Riemannian manifold $M$ . The op…

quant-ph2024

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 KÃ¤hler manifold $M$ , that we call the state man…