2026-05-05T10:17:56Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/408772021-06-24T07:22:52Zcom_10324_22154com_10324_954com_10324_894col_10324_22155

00925njm 22002777a 4500 dc C., David J. Fernández author 2019 Along the years, supersymmetric quantum mechanics (SUSY QM) has been used for studying solvable quantum potentials. It is the simplest method to build Hamiltonians with prescribed spectra in the spectral design. The key is to pair two Hamiltonians through a finite order differential operator. Some related subjects can be simply analyzed, as the algebras ruling both Hamiltonians and the associated coherent states. The technique has been applied also to periodic potentials, where the spectra consist of allowed and forbidden energy bands. In addition, a link with non-linear second-order differential equations, and the possibility of generating some solutions, can be explored. Recent applications concern the study of Dirac electrons in graphene placed either in electric or magnetic fields, and the analysis of optical systems whose relevant equations are the same as those of SUSY QM. These issues will be reviewed briefly in this paper, trying to identify the most important subjects explored currently in the literature. 21. Trends in Supersymmetric Quantum Mechanics, D.J. Fernández C., in S. Kuru, J. Negro and L.M. Nieto (eds.), Integrability, Supersymmetry and Coherent States. A volume in honour of Professor Véronique Hussin. CRM Series in Mathematical Physics (Berlin: Springer, 2019), pp. 37-68. http://uvadoc.uva.es/handle/10324/40877 10.1007/978-3-030-20087-9_2 37 68 Trends in Supersymmetric Quantum Mechanics