For nonrelativistic Hamiltonians which are shape invariant, analytic expressions for the eigenvalues and eigenvectors can be derived using the well known method of supersymmetric quantum mechanics. Most of these Hamiltonians also possess spectrum generating algebras and are hence solvable by an independent group theoretic method. In this paper, we demonstrate the equivalence of the two methods ...

A novel analytically solvable deformed Woods−Saxon potential is investigated by means of the Supersymmetric Quantum Mechanics. The study through Supersymmetric Quantum Mechanics is given together with the hierarchy of Hamiltonians and the shape invariance property. We obtain an expression for the energy levels of the deformed Woods-Saxon potential which gives for the non-zero and zero angular m...

Recently, a D–brane construction in type IIA string theory was shown to yield the electric/magnetic duality of four dimensional N=1 supersymmetric U(Nc) gauge theories with Nf flavours of quark. We present here an extension of that construction which yields the electric/magnetic duality for the SO(Nc) and USp(Nc) gauge theories with Nf quarks, by adding an orientifold plane which is consistent ...

We propose higher-derivative generalization of the supersymmetric quantum mechanics. It is formally based on the standard superalgebra but supercharges involve differential operators of the order n. As a result, their anticommutator entails polynomial of a Hamiltonian. The Witten index does not characterize spontaneous SUSY breaking in such models. The construction naturally arises after trunca...

In this paper we investigate the form of calibrated M5-branes in the presence of a nonvanishing 3-form field H. We discuss the influence of the H-field on the deformation of supersymmetric n-cycles (in particular SLAG submanifolds in R). In addition we argue for a construction which relates calibrated M5-branes of different “curved” dimensions to each other. ∗1 [email protected] 2miemie...

the aim of the present paper is to sbo» that anti-realism in science, 1vhich has a1;guab/y become more fashionable in recentyears, contrary to tuha: its proponents assert, cannot make use of quantum mechanics and its impressiue achievements as a frump card in justifying its claims. i will argue that scientific anti-realism far from providing scientific communiry with a progressive methodologica...

For a general mechanical system, it is shown that each solution of the Hamilton-Jacobi equation defines an N = 2 pseudo-supersymmetric extension of the system, such that the usual relation of the momenta to Hamilton’s principal function is the ‘BPS’ condition for preservation of 1/2 pseudo-supersymmetry. The examples of the relativistic and nonrelativistic particle, in a general potential, are ...

We rederive the recently introduced N = 2 topological gauge theories, representing the Euler characteristic of moduli spaces M of connections, from supersymmetric quantum mechanics on the infinite dimensional spaces A/G of gauge orbits. To that end we discuss variants of ordinary supersymmetric quantum mechanics which have meaningful extensions to infinite-dimensional target spaces and introduc...

Associated Lamé potentials V (x) = a(a + 1)msn2(x,m) + b(b + 1)mcn2(x,m)/dn(x,m) are used to construct complex, PT-invariant, periodic potentials using the anti-isospectral transformation x→ ix+ β, where β is any nonzero real number. These PT-invariant potentials are defined by V PT (x) ≡ −V (ix + β), and have a different real period from V (x). They are analytically solvable potentials with a ...