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Showing 2017 · quant-phShow all

11 papers · 2 filters

quant-ph2017

Real-space grid representation of momentum and kinetic energy operators for electronic structure calculations

Domenico Ninno, Giovanni Cantele, Fabio Trani

We show that the central finite difference formula for the first and the second derivative of a function can be derived, in the context of quantum mechanics, as matrix elements of…

quant-ph2017★ 6 cited

Boundaries without boundaries

Paolo Facchi, Giancarlo Garnero, Giuseppe Marmo +2

Starting with a quantum particle on a closed manifold without boundary, we consider the process of generating boundaries by modding out by a group action with fixed points, and we…

quant-ph2017★ 22 cited

A Pedagogical Intrinsic Approach to Relative Entropies as Potential Functions of Quantum Metrics: the - Family

Florio M. Ciaglia, Fabio Di Cosmo, Marco Laudato +4

The so-called -z-\textit{Rényi Relative Entropies} provide a huge two-parameter family of relative entropies which includes almost all well-known examples of quantum relative en…

quant-ph2017★ 6 cited

Tomography on f-oscillators

I. V. Dudinets, V. I. Man'ko, G. Marmo +1

Symplectic tomographies of classical and quantum states are shortly reviewed. The concept of nonlinear f-oscillators and their properties are recalled. The tomographic probability…

quant-ph2017★ 27 cited

Dynamical aspects in the Quantizer-Dequantizer formalism

Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +1

The use of the quantizer-dequantizer formalism to describe the evolution of a quantum system is reconsidered. We show that it is possible to embed a manifold in the space of quantu…

quant-ph2017★ 21 cited

Dynamical Vector Fields on the Manifold of Quantum States

Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +2

In this paper we shall consider the stratified manifold of quantum states and the vector fields which act on it. In particular, we show that the infinitesimal generator of the GKLS…

quant-ph2017★ 42 cited

Going beyond PFA: a precise formula for the sphere-plate Casimir force

Giuseppe Bimonte

Quantum fluctuations of the electromagnetic field in the medium surrounding two discharged macroscopic polarizable bodies induce a force between the two bodies, the so called Casim…

quant-ph2017★ 12 cited

Tensorial dynamics on the space of quantum states

J. F. Cariñena, J. Clemente-Gallardo, J. A. Jover-Galtier +1

A geometric description of the space of states of a finite-dimensional quantum system and of the Markovian evolution associated with the Kossakowski-Lindblad operator is presented.…

quant-ph2017★ 12 cited

Gauge Theories and Fibre Bundles - Applications to Particle Dynamics

A. P. Balachandran, G. Marmo, B. -S. Skagerstam +1

The underlying mathematical structures of gauge theories are known to be geometrical in nature and the local and global features of this geometry have been studied for a long time…

quant-ph2017★ 9 cited

Symmetry witnesses

Paolo Aniello, Dariusz Chruscinski

A symmetry witness is a suitable subset of the space of selfadjoint trace class operators that allows one to determine whether a linear map is a symmetry transformation, in the sen…

quant-ph2017★ 9 cited

Classical Casimir interaction of perfectly conducting sphere and plate

Giuseppe Bimonte

We study the Casimir interaction between perfectly conducting sphere and plate in the classical limit of high temperatures. By taking the small-distance expansion of the exact scat…