Results 21 to 30 of about 23,157 (251)
Supersymmetric monopole quantum mechanics on a sphere [PDF]
We study N=2 supersymmetric quantum mechanics of a charged particle on sphere in the background of Dirac magnetic monopole. We adopt CP(1) model approach in which the monopole interaction is free of singularity. In order to exploit manifest U(1) covariance in the superspace formalism, we introduce a gauge covariant chiral superfield which is ...
Soon-Tae Hong +3 more
openalex +4 more sources
Supersymmetric Quantum Mechanics and Solvable Models [PDF]
We review solvable models within the framework of supersymmetric quantum mechanics (SUSYQM). In SUSYQM, the shape invariance condition insures solvability of quantum mechanical problems. We review shape invariance and its connection to a consequent potential algebra.
Jonathan Bougie +3 more
openalex +5 more sources
Programmable photonic unitary circuits for light computing. [PDF]
Abstract Unitarity serves as a fundamental concept for characterizing linear and conservative wave phenomena in both classical and quantum systems. Developing platforms that perform unitary operations on light waves in a universal and programmable manner enables the emulation of complex light–matter interactions and the execution of general‐purpose ...
Kim K +5 more
europepmc +2 more sources
Supersymmetric quantum mechanics with reflections [PDF]
17 ...
Post, S., Vinet, L., Zhedanov, A.
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Supersymmetric quantum mechanics of scattering [PDF]
In the quantum mechanics of collision problems we must consider scattering states of the system. For these states, the wave functions do not remain in Hilbert space, but they are expressible in terms of generalized functions of a Gel'fand triplet. Supersymmetric quantum mechanics for dealing with the scattering states is here proposed.
Shimbori, T., Kobayashi, T.
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Twist deformations of the supersymmetric quantum mechanics [PDF]
Abstract The $$ \mathcal{N} $$-extended Supersymmetric Quantum Mechanics is deformed via an abelian twist which preserves the super-Hopf algebra structure of its Universal Enveloping Superalgebra. Two constructions are possible. For even $$ \mathcal{N} $$ one can identify the 1D $$ \mathcal{N} $$-extended ...
Castro Paulo +3 more
doaj +3 more sources
Expanding the Bethe/Gauge dictionary
We expand the Bethe/Gauge dictionary between the XXX Heisenberg spin chain and 2d N $$ \mathcal{N} $$ = (2, 2) supersymmetric gauge theories to include aspects of the algebraic Bethe ansatz.
Mathew Bullimore +2 more
doaj +1 more source
Supersymmetric Ground States of 3d $\mathcal{N}=4$ Gauge Theories on a Riemann Surface
This paper studies supersymmetric ground states of 3d $\mathcal{N}=4$ supersymmetric gauge theories on a Riemann surface of genus $g$. There are two distinct spaces of supersymmetric ground states arising from the $A$ and $B$ type twists on the ...
Mathew Bullimore, Andrea Ferrari, Heeyeon Kim
doaj +1 more source
Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around non-Abelian Vortices [PDF]
Fermionic zero modes around non-abelian vortices are shown that they constitute two $N=2$, $d=1$ supersymmetric quantum mechanics algebras. These two algebras can be combined under certain circumstances to form a central charge extended $N=4 ...
Kleidis, K., Oikonomou, V. K.
core +1 more source
Supersymmetric quantum mechanics [PDF]
Abstract We give a general construction for supersymmetric Hamiltonians in quantum mechanics. We find that N-extended supersymmetry imposes very strong constraints, and for N > 4 the Hamiltonian is integrable. We give a variety of examples, for one-particle and for many-particle systems, in different numbers of dimensions.
M de Crombrugghe, V Rittenberg
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