In the past ten years, the ideas of supersymmetry have been profitably applied to many
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …

Through the previous three editions, Handbook of Differential Equations has proven an
invaluable reference for anyone working within the field of mathematics, including …

This chapter introduces the basic ideas of P T-symmetric systems. It begins with a brief
discussion of closed (isolated) and open (non-isolated) systems and explains that P T …

This book introduces the factorization method in quantum mechanics at an advanced level,
with the aim of putting mathematical and physical concepts and techniques like the …

The nonlinear supersymmetric (SUSY) approach to spectral problems in quantum
mechanics (QM) is reviewed. Its building from the chains (ladders) of linear SUSY systems is …

The discrete eigenvalues of the complex PT-invariant potential V (x)=(− V 1sech x− iV 2tanh
x) sech x, V1> 0, are shown to be only complex-conjugate pairs when| V2|> V1+ 1/4, and …

The author investigates a simple method of constructing potentials which is related to the
work of Bhattacharjie and Sudarshan (1962) and for which the Schrodinger equation can be …

This monograph systematically develops and considers the so-called" dressing method" for
solving differential equations (both linear and nonlinear), a means to generate new non …

The authors give explicit point canonical transformations which map twelve types of shape
invariant potentials (which are known to be exactly solvable) into two potential classes. The …

We consider the application of the supersymmetric quantum-mechanical formalism to the
Schrödinger equation describing a particle characterized by a position-dependent effective …