Results 71 to 80 of about 117,716 (260)
Hamiltonian truncation study of supersymmetric quantum mechanics: S-matrix and metastable states [PDF]
We implement the Rayleigh-Ritz method in supersymmetric quantum mechanics with flat directions, and extract the S-matrix and metastable resonances. The effectiveness of the method is demonstrated in two strongly coupled systems: an N\documentclass[12pt ...
Bruno Balthazar, V. Rodríguez, Xi Yin
semanticscholar +1 more source
Ladder operators for subtle hidden shape invariant potentials
Ladder operators can be constructed for all potentials that present the integrability condition known as shape invariance, satisfied by most of the exactly solvable potentials.
Balantekin A B +9 more
core +2 more sources
Higher-order supersymmetric quantum mechanics
We review the higher-order supersymmetric quantum mechanics (H-SUSY QM), which involves differential intertwining operators of order greater than one. The iterations of first-order SUSY transformations are used to derive in a simple way the higher-order ...
C, David J Fernandez +1 more
core +3 more sources
Supersymmetric quantum mechanics of hypergeometric-like differential operators
Systematic iterative algorithms, that are solely dictated by the principles of supersymmetric quantum mechanics and do not rest on any input from the traditional methods, are developed for constructing the discrete eigen-spectra of a generic principal ...
Tianchun Zhou
doaj +1 more source
Superconformal quantum mechanics on Kähler cones
We consider supersymmetric quantum mechanics on a Kähler cone, regulated via a suitable resolution of the conical singularity. The unresolved space has a u(1, 1|2) superconformal symmetry and we propose the existence of an associated quantum mechanical ...
Nick Dorey, Daniel Zhang
doaj +1 more source
Parabose-Parafermi Supersymmetry [PDF]
The ($p=2$) parabose-parafermi supersymmetry is studied in general terms. It is shown that the algebraic structure of the ($p=2$) parastatistical dynamical variables allows for (symmetry) transformations which mix the parabose and parafermi coordinate ...
Mostafazadeh, Ali
core +2 more sources
Quaternionic quantum mechanics for N = 1, 2, 4 supersymmetry
Background Quaternions have emerged as powerful tools in higher-dimensional quantum mechanics as they provide homogeneous four-dimensional structure in quantum field theories, offer compact representations, and incorporate spin naturally.
Seema Rawat, A. S. Rawat
doaj +1 more source
The relativistic wave equations determine the dynamics of quantum fields in the context of quantum field theory. One of the conventional tools for dealing with the relativistic bound state problem is the Klein-Fock-Gordon equation.
A. I. Ahmadov +3 more
doaj +1 more source
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.
openaire +3 more sources
Low Energy Dynamics of N=2 Supersymmetric Monopoles [PDF]
It is argued that the low-energy dynamics of $k$ monopoles in N=2 supersymmetric Yang-Mills theory are determined by an N=4 supersymmetric quantum mechanics based on the moduli space of $k$ static monople solutions.
Alvarez-Gaumé +28 more
core +2 more sources

