Schrödinger and Dirac Operators with Aharonov–Bohm and Magnetic-Solenoid Fields

2012 ◽  
pp. 449-495
Author(s):  
D. M. Gitman ◽  
I. V. Tyutin ◽  
B. L. Voronov
Keyword(s):  
Dirac Operators ◽  
Aharonov Bohm

Schrödinger and Dirac operators with the Aharonov–Bohm and magnetic-solenoid fields

2012 ◽  
Vol 85 (4) ◽  
pp. 045003 ◽  
Author(s):  
D M Gitman ◽  
I V Tyutin ◽  
B L Voronov
Keyword(s):  
Dirac Operators ◽  
Aharonov Bohm

Phenomena and devices at the quantum scale and the mesoscale

2017 ◽  
Author(s):  
Sandip Tiwari
Keyword(s):  
Coulomb Blockade ◽  
Secure Communication ◽  
Quantum Hall ◽  
Nanoscale Device ◽  
Self Energy ◽  
Stability Diagrams ◽  
Charge Stability ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Non Locality

Unique nanoscale phenomena arise in quantum and mesoscale properties and there are additional intriguing twists from effects that are classical in origin. In this chapter, these are brought forth through an exploration of quantum computation with the important notions of superposition, entanglement, non-locality, cryptography and secure communication. The quantum mesoscale and implications of nonlocality of potential are discussed through Aharonov-Bohm effect, the quantum Hall effect in its various forms including spin, and these are unified through a topological discussion. Single electron effect as a classical phenomenon with Coulomb blockade including in multiple dot systems where charge stability diagrams may be drawn as phase diagram is discussed, and is also extended to explore the even-odd and Kondo consequences for quantum-dot transport. This brings up the self-energy discussion important to nanoscale device understanding.

scholarly journals Hardy-type estimates for Dirac operators

2007 ◽  
Vol 40 (6) ◽  
pp. 885-900 ◽  
Author(s):  
J DOLBEAULT ◽  
M ESTEBAN ◽  
J DUOANDIKOETXEA ◽  
L VEGA
Keyword(s):  
Dirac Operators ◽  
Hardy Type

scholarly journals Beating of Aharonov-Bohm oscillations in a closed-loop interferometer

2007 ◽  
Vol 76 (3) ◽  
Author(s):  
Sanghyun Jo ◽  
Gyong Luck Khym ◽  
Dong-In Chang ◽  
Yunchul Chung ◽  
Hu-Jong Lee ◽  
...  
Keyword(s):  
Closed Loop ◽  
Aharonov Bohm

scholarly journals Two-flux tunable Aharonov-Bohm effect in a photonic lattice

2021 ◽  
Vol 104 (2) ◽  
Author(s):  
V. Brosco ◽  
L. Pilozzi ◽  
C. Conti
Keyword(s):  
Bohm Effect ◽  
Aharonov Bohm

scholarly journals Chiral symmetry and taste symmetry from the eigenvalue spectrum of staggered Dirac operators

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Hwancheol Jeong ◽  
Chulwoo Jung ◽  
Seungyeob Jwa ◽  
Jangho Kim ◽  
Jeehun Kim ◽  
...  
Keyword(s):  
Chiral Symmetry ◽  
Dirac Operators ◽  
Eigenvalue Spectrum
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