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quant-ph2022
The Non-commutative Robertson-Schrödinger Uncertainty Principle
Agapitos N. Hatzinikitas
We investigate properties of the covariance matrix in the framework of non-commutative quantum mechanics for an one-parameter family of transformations between the familiar Heisenb…
quant-ph2007★ 9 cited
Zero modes of various graphene configurations from the index theorem
Jiannis K. Pachos, Agapitos Hatzinikitas, Michael Stone
In this article we consider a graphene sheet that is folded in various compact geometries with arbitrary topology described by a certain genus, . While the Hamiltonian of these…
quant-ph2005★ 1 cited
The Symmetric Stable Lévy Flights and the Feynman Path Integral
Agapitos Hatzinikitas
We determine the solution of the fractional spatial diffusion equation in n-dimensional Euclidean space for a "free" particle by computing the corresponding propagator. We employ b…