Classical trajectories and quantum supersymmetry

Abstract

We analyze a supersymmetric system with four flat directions. We observe several interesting properties, such as the coexistence of the discrete and continuous spectrum in the same range of energies. We also solve numerically the classical counterpart of this system. A similar analysis is then done for an alike, but non-supersymmetric system. The comparison of theses classical and quantum results may serve as a suggestion about classical manifestations of supersymmetry.

16 pages, 12 figures, 5 tables, some misspellings corrected

References in corpus (5)

• M Theory As A Matrix Model: A Conjecture
• Supersymmetry and Quantum Mechanics
• Spectra of supersymmetric Yang-Mills quantum mechanics
• High precision study of the structure of D=4 supersymmetric Yang-Mills quantum mechanics
• Exact Witten Index in D=2 supersymmetric Yang-Mills quantum mechanics

Cited by in corpus (10)

• Spectral properties in supersymmetric matrix models
• On the Geometry of Supersymmetric Quantum Mechanical Systems
• Weighted Supermembrane Toy Model
• The ground state of the D=11 supermembrane and matrix models on compact regions
• Solutions of D=2 supersymmetric Yang-Mills quantum mechanics with SU(N) gauge group
• Exact solutions to D=2 Supersymmetric Yang-Mills Quantum Mechanics with SU(3) gauge group
• Gauge invariant plane-wave solutions in supersymmetric Yang-Mills quantum mechanics
• Eigenvalues and eigenvectors of the Laplace operator in d-dimensional cut Fock basis
• D=4 supersymmetric Yang-Mills quantum mechanics with three colors
• Arguments towards the construction of a matrix model groundstate