A short review of the main properties of coherent and squeezed states is given in the
introductory form. The efforts are addressed to clarify concepts and notions, including some …

As with the earlier edition, this book provides an accessible introduction to supersymmetric
quantum mechanics and its applications in quantum, statistical and solid state physics …

Bloch's theorem was a major milestone that established the principle of bandgaps in
crystals. Although it was once believed that bandgaps could form only under conditions of …

We use supersymmetry transformations to obtain new one parameter families of
inhomogeneous magnetic fields $\boldsymbol {B}=\widetilde {\mathcal {B}}(x,\lambda)\hat …

A set of Hamiltonians that are not self-adjoint but have the spectrum of the harmonic
oscillator is studied. The eigenvectors of these operators and those of their Hermitian …

In this article we will apply the first-and second-order supersymmetric quantum mechanics to
obtain new exactly-solvable real potentials departing from the inverted oscillator potential …

Supersymmetry (SUSY) has recently emerged as a tool to design unique optical structures
with degenerate spectra. Here, we study several fundamental aspects and variants of one …

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It is commonly known that the Fokker-Planck equation is exactly solvable only for some
particular systems, usually with time-independent drift coefficients. To extend the class of …

In the present paper, a systematic approach is presented for solution of two-dimensional
massless Dirac equation with external electrostatic potential applied. This approach is …