scholarly journals Quantum geometry and quantization on U(u(2)) background. Noncommutative Dirac monopole

2016 ◽  
Vol 106 ◽  
pp. 87-97
Author(s):  
Dimitri Gurevich ◽  
Pavel Saponov
Keyword(s):  
Quantum Geometry ◽  
Dirac Monopole

scholarly journals Tensor Monopoles in superconducting systems

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 601
Author(s):  
H. Weisbrich ◽  
M. Bestler ◽  
W. Belzig
Keyword(s):  
Topological Structure ◽  
Gauge Theories ◽  
Topological States Of Matter ◽  
Three Dimensions ◽  
Gauge Fields ◽  
Quantum Geometry ◽  
Central Concept ◽  
Dirac Monopole ◽  
Topological States ◽  
Phase Differences

Topology in general but also topological objects such as monopoles are a central concept in physics. They are prime examples for the intriguing physics of gauge theories and topological states of matter. Vector monopoles are already frequently discussed such as the well-established Dirac monopole in three dimensions. Less known are tensor monopoles giving rise to tensor gauge fields. Here we report that tensor monopoles can potentially be realized in superconducting multi-terminal systems using the phase differences between superconductors as synthetic dimensions. In a first proposal we suggest a circuit of superconducting islands featuring charge states to realize a tensor monopole. As a second example we propose a triple dot system coupled to multiple superconductors that also gives rise to such a topological structure. All proposals can be implemented with current experimental means and the monopole readily be detected by measuring the quantum geometry.

TOPOLOGICAL QUANTIZATION OF THE MAGNETIC FLUX

2000 ◽  
Vol 15 (24) ◽  
pp. 1491-1495 ◽  
Author(s):  
DANIEL WISNIVESKY
Keyword(s):  
Quantum Theory ◽  
Charged Particle ◽  
Magnetic Flux ◽  
Linear Group ◽  
Connected Region ◽  
Magnetic Tube ◽  
Dirac Monopole ◽  
Multiply Connected ◽  
Quantum Problem ◽  
Multiply Connected Region

We discuss the quantum problem of a charged particle in a multiply connected region encircling a magnetic tube, using a theory in which space and internal coordinates are derived from the parameters of a linear group of transformations (group space quantum theory). Based only on symmetry considerations, we show that, the magnetic flux in the tube must be quantized in multiples of the Dirac monopole charge.

scholarly journals Ground-state quantum geometry in superconductor–quantum dot chains

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
R. L. Klees ◽  
J. C. Cuevas ◽  
W. Belzig ◽  
G. Rastelli
Keyword(s):  
Quantum Dot ◽  
Ground State ◽  
Quantum Geometry

scholarly journals In Vacuo Dispersion-Like Spectral Lags in Gamma-Ray Bursts

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 541
Author(s):  
Giovanni Amelino-Camelia ◽  
Giacomo D’Amico ◽  
Fabrizio Fiore ◽  
Simonetta Puccetti ◽  
Michele Ronco
Keyword(s):  
Statistical Analysis ◽  
Linear Correlation ◽  
Gamma Ray ◽  
Statistical Evidence ◽  
Gamma Ray Bursts ◽  
Quantum Geometry

Some recent studies exposed preliminary but rather intriguing statistical evidence of in vacuo dispersion-like spectral lags for gamma-ray bursts (GRBs), a linear correlation between time of observation and energy of GRB particles, which is expected in some models of quantum geometry. Those results focused on testing in vacuo dispersion for the most energetic GRB particles, and in particular only included photons with energy at emission greater than 40 GeV. We here extend the window of the statistical analysis down to 5 GeV and find results that are consistent with what had been previously noticed at higher energies.

scholarly journals Interferometric tests of Planckian quantum geometry models

2016 ◽  
Vol 33 (10) ◽  
pp. 105004 ◽  
Author(s):  
Ohkyung Kwon ◽  
Craig J Hogan
Keyword(s):  
Quantum Geometry

Concept of Quantum Geometry in Optoelectronic Processes in Solids: Application to Solar Cells

2017 ◽  
Vol 29 (25) ◽  
pp. 1603345 ◽  
Author(s):  
Naoto Nagaosa ◽  
Takahiro Morimoto
Keyword(s):  
Solar Cells ◽  
Quantum Geometry

scholarly journals SCATTERING, GREEN’S FUNCTIONS AND SYMMETRIES IN A TOTAL SPACE OF A DIRAC MONOPOLE FIBRE BUNDLE

1991 ◽  
Vol 06 (04) ◽  
pp. 577-598 ◽  
Author(s):  
A.G. SAVINKOV ◽  
A.B. RYZHOV
Keyword(s):  
Green's Functions ◽  
Principal Bundle ◽  
Fibre Bundle ◽  
Green’S Functions ◽  
Wave Functions ◽  
Total Space ◽  
Dirac Monopole ◽  
Hidden Symmetries ◽  
Scattering Wave ◽  
A Charge

The scattering wave functions and Green’s functions were found in a total space of a Dirac monopole principal bundle. Also, hidden symmetries of a charge-Dirac monopole system and those joining the states relating to different topological charges n=2eg were found.

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