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The applicability of the factorization method is extended to the case of quantum fractional-differential Hamiltonians. In contrast with the conventional factorization, it is shown that the `factorization energy' is now a…

Mathematical Physics · Physics 2016-05-05 Fernando Olivar-Romero , Oscar Rosas-Ortiz

Examples are given of q-deformed systems that may be interpreted by the standard rules of quantum theory in terms of new degrees of freedom and supplementary quantum numbers.

High Energy Physics - Theory · Physics 2007-05-23 R. J. Finkelstein

Diffraction in time (DIT) is a fundamental phenomenon in quantum dynamics due to time-dependent obstacles and slits. It is formally analogous to diffraction of light, and is expected to play an increasing role to design coherent matter wave…

Quantum Physics · Physics 2011-11-08 E. Torrontegui , J. Muñoz , Yue Ban , J. G. Muga

Quantum error mitigation (QEM) is a class of promising techniques capable of reducing the computational error of variational quantum algorithms tailored for current noisy intermediate-scale quantum computers. The recently proposed…

Quantum Physics · Physics 2022-05-17 Yifeng Xiong , Soon Xin Ng , Lajos Hanzo

We present a novel quantum-classical approach to non-adiabatic dynamics, deduced from the coupled electronic and nuclear equations in the framework of the exact factorization of the electron-nuclear wave function. The method is based on the…

Chemical Physics · Physics 2015-08-19 Seung Kyu Min , Federica Agostini , E. K. U. Gross

Point-form relativistic quantum mechanics is used to derive an expression for the electromagnetic form factor of a pseudoscalar meson for space-like momentum transfers. The elastic scattering of an electron by a confined quark-antiquark…

Nuclear Theory · Physics 2010-04-23 Elmar P. Biernat , Kajetan Fuchsberger , William H. Klink , Wolfgang Schweiger

A simple mathematical procedure is introduced which allows redefining in an exact way divergent integrals and limits that appear in the basic equations of classical electrodynamics with point charges. In this way all divergences are at once…

Classical Physics · Physics 2015-06-26 Massimo Marino

Central to quantum theory, the wavefunction is the complex distribution used to completely describe a quantum system. Despite its fundamental role, it is typically introduced as an abstract element of the theory with no explicit definition.…

Quantum Physics · Physics 2011-12-16 Jeff S. Lundeen , Brandon Sutherland , Aabid Patel , Corey Stewart , Charles Bamber

Quantum wires and electromagnetic waveguides possess common features since their physics is described by the same wave equation. We exploit this analogy to investigate experimentally with microwave waveguides and theoretically with the help…

Mesoscale and Nanoscale Physics · Physics 2013-04-11 S. Bittner , B. Dietz , M. Miski-Oglu , A. Richter , C. Ripp , E. Sadurni , W. P. Schleich

Generalised phase-space techniques for electromagnetic interactions beyond the rotating wave approximation [L.P. and S.S., arXiv:1104.3825 (2011)] is applied to interactions of distinguishable devices. The paper is built around the concept…

Quantum Physics · Physics 2015-07-31 L. I. Plimak , S. Stenholm

Aiming at providing an objective motion picture for the microscopic object described by the wave function, new analysis about motion is presented by use of the point set theory in mathematics, through which we show that a new kind of motion…

General Physics · Physics 2007-05-23 Gao Shan

Coherence is a familiar concept in physics: It is the driving force behind wavelike phenomena such as the diffraction of light. Moreover, wave-particle duality implies that all quantum objects can exhibit coherence, and this quantum…

Quantum Physics · Physics 2009-11-11 Brendon W. Lovett , Ahsan Nazir

The on-demand emission of coherent and indistinguishable electrons by independent synchronized sources is a challenging task of quantum electronics, in particular regarding its application for quantum information processing. Using two…

Mesoscale and Nanoscale Physics · Physics 2013-01-31 E. Bocquillon , V. Freulon , J. -M Berroir , P. Degiovanni , B. Plaçais , A. Cavanna , Y. Jin , G. Fève

New effective operators, describing the photons with given polarization at given position with respect to a source are proposed. These operators can be used to construct the near and intermediate zones quantum optics. It is shown that the…

Quantum Physics · Physics 2007-05-23 Alexander S. Shumovsky , Alexander A. Klyachko

In quantum mechanics, the operator representing the displacement of a system in position or momentum is always accompanied by a path-dependent phase factor. In particular, two non-parallel displacements in phase space do not compose…

Quantum Physics · Physics 2018-02-14 Amar C. Vutha , Eliot A. Bohr , Anthony Ransford , Wesley C. Campbell , Paul Hamilton

We draw attention to various aspects of number theory emerging in the time evolution of elementary quantum systems with quadratic phases. Such model systems can be realized in actual experiments. Our analysis paves the way to a new,…

Quantum Physics · Physics 2015-06-26 Holger Mack , Marc Bienert , Florian Haug , Matthias Freyberger , Wolfgang P. Schleich

Based on the concepts of the quantum field theory of virtual photons as quanta of electromagnetic interaction, we discuss the physical content of the phenomena underlying the principle of quantum uncertainties. We consider the features of…

Quantum Physics · Physics 2022-08-04 V. N. Murzin , L. Yu. Shchurova

We examine the generalized quantum electrodynamics as a natural extension of the Maxwell electrodynamics to cure the one-loop divergence. We establish a precise scenario to discuss the underlying features between photon and fermion where…

High Energy Physics - Theory · Physics 2022-06-17 David Montenegro , B. M. Pimentel

The purpose of this paper is to present an overview of recent work on pilot-wave approaches to quantum field theory. In such approaches, systems are not only described by their wave function, as in standard quantum theory, but also by some…

Quantum Physics · Physics 2011-07-18 Ward Struyve

The parametrized Dirac wave equation represents position and time as operators, and can be formulated for many particles. It thus provides, unlike field-theoretic Quantum Electrodynamics (QED), an elementary and unrestricted representation…

Quantum Physics · Physics 2020-02-28 A. F. Bennett