Z2n-graded extensions of supersymmetric quantum mechanics via Clifford algebras [PDF]
It is shown that the ${\cal N}=1$ supersymmetric quantum mechanics (SQM) can be extended to a $\mathbb{Z}_2^n$-graded superalgebra. This is done by presenting quantum mechanical models which realize, with the aid of Clifford gamma matrices, the $\mathbb ...
N. Aizawa, K. Amakawa, S. Doi
semanticscholar +1 more source
Numerical analyses of ${\cal N}=2$ supersymmetric quantum mechanics with a cyclic Leibniz rule on a lattice [PDF]
We study a cyclic Leibniz rule, which provides a systematic approach to lattice supersymmetry, using a numerical method with a transfer matrix. The computation is carried out in N=2 supersymmetric quantum mechanics with the phi^6-interaction for weak and
D. Kadoh, Takeru Kamei, H. So
semanticscholar +1 more source
Supersymmetric Quantum Mechanics: Two Factorization Schemes and Quasi-Exactly Solvable Potentials [PDF]
We present the general ideas on SuperSymmetric Quantum Mechanics (SUSY-QM) using different representations for the operators in question, which are defined by the corresponding bosonic Hamiltonian as part of SUSY Hamiltonian and its supercharges, which ...
José Socorro García Díaz +3 more
semanticscholar +1 more source
N-extension of double-graded supersymmetric and superconformal quantum mechanics [PDF]
In the recent paper (Bruce and Duplij 2019 (arXiv:1904.06975 [math-ph])), Bruce and Duplij introduced a double-graded version of supersymmetric quantum mechanics (SQM). It is an extension of Lie superalgebraic nature of SQM to a -graded superalgebra.
N. Aizawa, K. Amakawa, S. Doi
semanticscholar +1 more source
BiHermitian supersymmetric quantum mechanics [PDF]
45 pages, no figure; new results added in section ...
openaire +5 more sources
Supersymmetric quantum mechanics with a point singularity [PDF]
We study the possibility of supersymmetry (SUSY) in quantum mechanics in one dimension under the presence of a point singularity. The system considered is the free particle on a line R or on the interval [-l, l] where the point singularity lies at x = 0.
Takashi Uchino, Izumi Tsutsui
openaire +4 more sources
Exact Solutions for Matter-Enhanced Neutrino Oscillations [PDF]
The analogy between supersymmetric quantum mechanics and matter-enhanced neutrino oscillations is exploited to obtain exact solutions for a class of electron density profiles.
A. B. Balantekin +28 more
core +2 more sources
New AdS2/CFT1 pairs from AdS3 and monopole bubbling
We present general results on generating AdS2 solutions to Type II supergravity from AdS3 solutions via U(1) and SL(2) T-dualities. We focus on a class of Type IIB solutions with small 𝒩 = 4 supersymmetry, that we show can be embedded into a more general
Andrea Conti +2 more
doaj +1 more source
Supersymmetric quantum mechanics with nonlocal potentials [PDF]
We consider supersymmetric quantum mechanical models with both local and nonlocal potentials. We present a nonlocal deformation of exactly solvable local models. Its energy eigenfunctions and eigenvalues are determined exactly.
A. B. Balantekin +19 more
core +2 more sources
Super algebra and Harmonic Oscillator in Anti de Sitter space [PDF]
The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space.
Omid Jalili, Shahin Toni
doaj +1 more source

