activity
20092026
most citedDirac Equation in Noncommutative Space for Hydrogen Atom

70 citations · 294 across the 24 of their papers we have counts for

collaborators
Showing hep-thShow all

19 papers · 1 filter

hep-th2023

Singular electromagnetic fields in nonlinear electrodynamics with a constant background field

T. C. Adorno, D. M. Gitman, A. E. Shanad

When exploring equations of nonlinear electrodynamics in effective medium formed by mutually parallel external electric and magnetic fields, we come to special static axial-symmetr…

hep-th2019★ 10 cited

Vacuum instability in a constant inhomogeneous electric field. A new example of exact nonperturbative calculations

T. C. Adorno, S. P. Gavrilov, D. M. Gitman

Basic quantum processes (such as particle creation, reflection, and transmission on the corresponding Klein steps) caused by inverse-square electric fields are calculated. These re…

hep-th2018★ 8 cited

Violation of vacuum stability by inverse square electric fields

T. C. Adorno, S. P. Gavrilov, D. M. Gitman

In the framework of QED with a strong background, we study particle creation (the Schwinger effect) by a time-dependent inverse square electric field. To this end corresponding exa…

hep-th2018★ 14 cited

Role of switching-on and -off effects in the vacuum instability

T. C. Adorno, R. Ferreira, S. P. Gavrilov +1

We find exact differential mean numbers of fermions and bosons created from the vacuum due to a composite electric field of special configuration. This configuration imitates a fin…

hep-th2017★ 4 cited

Magnetic response from constant backgrounds to Coulomb sources

T. C. Adorno, D. M. Gitman, A. E. Shabad

Magnetically uncharged, magnetic linear response of the vacuum filled with arbitrarily combined constant electric and magnetic fields to an imposed static electric charge is found…

hep-th2016★ 18 cited

Particle creation by peak electric field

T. C. Adorno, S. P. Gavrilov, D. M. Gitman

The particle creation by the so-called peak electric field is considered. The latter field is a combination of two exponential parts, one exponentially increasing and another expon…

hep-th2016★ 16 cited

Coulomb field in a constant electromagnetic background

T. C. Adorno, D. M. Gitman, A. E. Shabad

Nonlinear Maxwell equations are written up to the third-power deviations from a constant-field background, valid within any local nonlinear electrodynamics including QED with a Eul…

hep-th2015★ 29 cited

Exactly solvable cases in QED with t-electric potential steps

T. C. Adorno, S. P. Gavrilov, D. M. Gitman

In this paper, we present in detail consistent QED (and scalar QED) calculations of particle creation effects in external electromagnetic field that correspond to three most import…

hep-th2015★ 7 cited

When electric charge becomes also magnetic

Tiago C. Adorno, Dmitry M. Gitman, Anatoly E. Shabad

In nonlinear electrodynamics, QED included, we find a static solution to the field equations with an electric charge as its source, which is comprised of homogeneous parallel magne…

hep-th2014★ 20 cited

Particle creation from the vacuum by an exponentially decreasing electric field

T. C. Adorno, S. P. Gavrilov, D. M. Gitman

We analyze the creation of fermions and bosons from the vacuum by the exponentially decreasing in time electric field in detail. In our calculations we use QED and follow in main t…

hep-th2014

Nonlinearity in Electro- and Magneto-statics with and without External Field

T. C. Adorno, Caio Costa, D. M. Gitman +1

Due to the nonlinearity of QED, a static charge becomes a magnetic dipole if placed in a magnetic field. Already without external field, the cubic Maxwell equation for the field of…

hep-th2014★ 13 cited

Electric charge is a magnetic dipole when placed in a background magnetic field

T. C. Adorno, D. M. Gitman, A. E. Shabad

It is demonstrated, owing to the nonlinearity of QED, that a static charge placed in a strong magnetic field\ \ is a magnetic dipole (besides remaining an electric monopole, as…

hep-th2013★ 17 cited

Magnetic response to applied electrostatic field in external magnetic field

T. C. Adorno, D. M. Gitman, A. E. Shabad

We show, within QED and other possible nonlinear theories, that a static charge localized in a finite domain of space becomes a magnetic dipole, if it is placed in an external (con…

hep-th2012★ 8 cited

Noncommutative magnetic moment, fundamental length and lepton size

T. C. Adorno, D. M. Gitman, A. E. Shabad

Upper bounds on fundamental length are discussed that follow from the fact that a magnetic moment is inherent in a charged particle in noncommutative (NC) electrodynamics. The stro…

hep-th2011★ 21 cited

Classical Noncommutative Electrodynamics with External Source

T. C. Adorno, D. M. Gitman, A. E. Shabad +1

In a -noncommutative (NC) gauge field theory we extend the Seiberg-Witten (SW) map to include the (gauge-invariance-violating) external current and formulate - to the…

hep-th2011★ 21 cited

Noncommutative magnetic moment of charged particles

T. C. Adorno, D. M. Gitman, A. E. Shabad +1

It has been argued, that in noncommutative field theories sizes of physical objects cannot be taken smaller than an elementary length related to noncommutativity parameters. By gau…

hep-th2010★ 7 cited

Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space

T. C. Adorno, M. C. Baldiotti, D. M. Gitman

We construct a nonrelativistic wave equation for spinning particles in the noncommutative space (in a sense, a -modification of the Pauli equation). To this end, we consider the…

hep-th2010★ 7 cited

Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space

T. C. Adorno, M. C. Baldiotti, D. M. Gitman

We construct a nonrelativistic wave equation for spinning particles in the noncommutative space (in a sense, a -modification of the Pauli equation). To this end, we consider the…

hep-th2009★ 70 cited

Dirac Equation in Noncommutative Space for Hydrogen Atom

T. C. Adorno, M. C. Baldiotti, M. Chaichian +2

We consider the energy levels of a hydrogen-like atom in the framework of -modified, due to space noncommutativity, Dirac equation with Coulomb field. It is shown that on the no…