scholarly journals Alternative description of magnetic monopoles in quantum mechanics

2018 ◽  
Vol 78 (9) ◽  
Author(s):  
Samuel Kováčik ◽  
Peter Prešnajder
Keyword(s):  
Quantum Mechanics ◽  
Magnetic Monopoles ◽  
Alternative Description

scholarly journals A Feynman–Kac formula for magnetic monopoles

2021 ◽  
pp. 2150015
Author(s):  
J. Dimock
Keyword(s):  
Quantum Mechanics ◽  
Charged Particle ◽  
Line Bundle ◽  
Eigenfunction Expansion ◽  
Magnetic Monopole ◽  
Magnetic Monopoles ◽  
Wave Functions ◽  
Stochastic Integrals ◽  
Complex Line ◽  
Imaginary Time

We consider the quantum mechanics of a charged particle in the presence of Dirac’s magnetic monopole. Wave functions are sections of a complex line bundle and the magnetic potential is a connection on the bundle. We use a continuum eigenfunction expansion to find an invariant domain of essential self-adjointness for the Hamiltonian. This leads to a proof of the Feynman–Kac formula expressing solutions of the imaginary time Schrödinger equation as stochastic integrals.

scholarly journals Magnetic Monopoles and Dipoles in Quantum Mechanics

1986 ◽  
Vol 480 (1 New Technique) ◽  
pp. 210-216 ◽  
Author(s):  
HARRY J. LIPKIN ◽  
MURRAY PESHKIN
Keyword(s):  
Quantum Mechanics ◽  
Magnetic Monopoles

scholarly journals Magnetic monopoles in noncommutative quantum mechanics 2

2018 ◽  
Vol 59 (8) ◽  
pp. 082107 ◽  
Author(s):  
Samuel Kováčik ◽  
Peter Prešnajder
Keyword(s):  
Quantum Mechanics ◽  
Magnetic Monopoles ◽  
Noncommutative Quantum Mechanics ◽  
Noncommutative Quantum

scholarly journals Magnetic Monopoles in (Noncommutative) Quantum Mechanics

2018 ◽  
Author(s):  
Samuel Kovacik ◽  
Peter Prešnajder
Keyword(s):  
Quantum Mechanics ◽  
Magnetic Monopoles ◽  
Noncommutative Quantum Mechanics ◽  
Noncommutative Quantum

scholarly journals Magnetic monopoles in noncommutative quantum mechanics

2017 ◽  
Vol 58 (1) ◽  
pp. 012101 ◽  
Author(s):  
Samuel Kováčik ◽  
Peter Prešnajder
Keyword(s):  
Quantum Mechanics ◽  
Magnetic Monopoles ◽  
Noncommutative Quantum Mechanics ◽  
Noncommutative Quantum

scholarly journals Complete supersymmetric quantum mechanics of magnetic monopoles inN=4super Yang-Mills theory

2000 ◽  
Vol 62 (2) ◽  
Author(s):  
Dongsu Bak ◽  
Kimyeong Lee ◽  
Piljin Yi
Keyword(s):  
Quantum Mechanics ◽  
Magnetic Monopoles ◽  
Supersymmetric Quantum Mechanics ◽  
Yang Mills

scholarly journals Witten effect, anomaly inflow, and charge teleportation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Hajime Fukuda ◽  
Kazuya Yonekura
Keyword(s):  
Quantum Mechanics ◽  
Magnetic Monopole ◽  
Charged Particles ◽  
Magnetic Monopoles ◽  
Three Dimensions ◽  
Total Charge ◽  
Four Dimensions ◽  
Linking Number ◽  
M Theory ◽  
Chern Simons

Abstract We study a phenomenon that electric charges are “teleported” between two spatially separated objects without exchanging charged particles at all. For example, this phenomenon happens between a magnetic monopole and an axion string in four dimensions, two vortices in three dimensions, and two M5-branes in M-theory in which M2-charges are teleported. This is realized by anomaly inflow into these objects in the presence of cubic Chern-Simons terms. In particular, the Witten effect on magnetic monopoles can be understood as a general consequence of anomaly inflow, which implies that some anomalous quantum mechanics must live on them. Charge violation occurs in the anomalous theories living on these objects, but it happens in such a way that the total charge is conserved between the two spatially separated objects. We derive a formula for the amount of the charge which is teleported between the two objects in terms of the linking number of their world volumes in spacetime.

Magnetic Monopoles in Quantum Mechanics

2018 ◽  
pp. 645-678
Author(s):  
Kurt Lechner
Keyword(s):  
Quantum Mechanics ◽  
Magnetic Monopoles

scholarly journals Origins of the Time, Mass, Energy, Wave Function, Electric Charges, and Magnetic Monopoles

2021 ◽  
Author(s):  
Jae-Kwang Hwang
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Euclidean Space ◽  
Electric Field ◽  
Magnetic Monopoles ◽  
Time Axis ◽  
Mass Energy ◽  
Axis Direction ◽  
Time Loop

Origins of the time, mass, electric charges and magnetic monopoles are explained. The energies, electric charges and magnetic charges of the particles are defined as E = cDtDV and |q| = cDt = E/DV, and |qm| = c2Dt, respectively, for the 3-D quantized spaces warped along the time axis direction of ct in the 4-D Euclidean space. The energy (or mass) and charges (or electric charges and magnetic charges) are the vectors along the time axis of ct in the 4-D Euclidean space. This new concept is closely connected to the wave function of the quantum mechanics. The electric charges, magnetic charges and energies have the property of the space direction independence. Magnetic monopoles (charges) are the force carrying bosons with the inside electric field time loop. Electric monopoles are the elementary fermions. Photon space fluctuations are explained with the quantized magnetic charges.

Magnetic Monopoles in the Hydrodynamic Formulation of Quantum Mechanics

1971 ◽  
Vol 3 (10) ◽  
pp. 2410-2412 ◽  
Author(s):  
I. Bialynicki-Birula ◽  
Z. Bialynicka-Birula
Keyword(s):  
Quantum Mechanics ◽  
Magnetic Monopoles
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