Results 21 to 30 of about 22,559 (202)
Orbital frontiers: harnessing higher modes in photonic simulators. [PDF]
Abstract Photonic platforms have emerged as versatile and powerful classical simulators of quantum dynamics, providing clean, controllable optical analogs of extended structured (i.e., crystalline) electronic systems. While most realizations to date have used only the fundamental mode at each site, recent advances in structured light – particularly the
Noh J, Schulz J, Benalcazar W, Jörg C.
europepmc +2 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
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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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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.
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Double-graded supersymmetric quantum mechanics [PDF]
A quantum mechanical model that realizes the Z2×Z2-graded generalization of the one-dimensional supertranslation algebra is proposed. This model shares some features with the well-known Witten model and is related to parasupersymmetric quantum mechanics, though the model is not directly equivalent to either of these.
Andrew James Bruce, Steven Duplij
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Supersymmetric quantum mechanics and the Korteweg-de Vries hierarchy [PDF]
The connection between supersymmetric quantum mechanics and the Korteweg- de Vries (KdV) equation is discussed, with particular emphasis on the KdV conservation laws.
Grant, Aaron K., Rosner, Jonathan L.
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BiHermitian supersymmetric quantum mechanics [PDF]
45 pages, no figure; new results added in section ...
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Fractional supersymmetric Quantum Mechanics as a set of replicas of ordinary supersymmetric Quantum Mechanics [PDF]
A connection between fractional supersymmetric quantum mechanics and ordinary supersymmetric quantum mechanics is established in this Letter.Comment: Paper accepted for publication in Physics Letters
Daoud +22 more
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EXTENDED FRACTIONAL SUPERSYMMETRIC QUANTUM MECHANICS [PDF]
Recently, we presented a new class of quantum-mechanical Hamiltonians which can be written as the Fth power of a conserved charge: H=QF with F=2, 3,…. This construction, called fractional supersymmetric quantum mechanics, was realized in terms of a paragrassmann variable θ of order F, which satisfies θF=0.
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Supersymmetric quantum mechanics with reflections [PDF]
17 ...
Post, S., Vinet, L., Zhedanov, A.
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