Supersymmetric quantum mechanics and its applications

Conference item

The Hamiltonian in Supersymmetric Quantum Mechanics is defined in terms of charges that obey the same algebra as that of the generators of supersymmetry in field theory. The consequences of this symmetry for the spectra of the component parts that constitute the supersymmetric system are explored. The implications of supersymmetry for the solutions of the Schrodinger equation, the Dirac equation, the inverse scattering theory and the multi-soliton solutions of the KdV equation are examined. Applications to scattering problems in Nuclear Physics with specific reference to singular potentials which arise from considerations of supersymmetry will be discussed.

Authors: Sukumar, C

• Publication status: Published
• Journal: LATIN-AMERICAN SCHOOL OF PHYSICS - XXXV ELAF
• Volume: 744
• Pages: 166-235
• Publication date: 2005-01-01
• Event title: 35th Latin-American School of Physics
• DOI: 10.1063/1.1853202
• EISSN: 1551-7616
• ISSN: 0094-243X
• ISBN: 0735402280
• Keywords: HIERARCHY; FACTORIZATION METHOD; INVERSE SCATTERING; SCHRODINGER-EQUATION; EXCLUSION PRINCIPLE; EQUIVALENT POTENTIALS; BOUND-STATES; SYSTEMS; DEEP; ARBITRARY ENERGIES