$(1+1)$ dimensional Dirac equation with non Hermitian interaction

$2N$ qubit "mirror states" for optimal quantum communication

$C_λ$-extended harmonic oscillator and (para)supersymmetric quantum mechanics

$J$-matrix and Isolated States

$k$-decomposability of positive maps

$q$ - Deformed Spin Networks, Knot Polynomials and Anyonic Topological Quantum Computation

$Q$-deformed description of excitons and associated physical results

$sl(2)$ variational schemes for solving one class of quantum nonlinear models

$so(2,1)$ scattering via Euclidean Connection for the Natanzon Hypergeometric Potentials

$Z_3$-graded Symmetries in Quantum Mechanics

$\cal{PT}$ symmetric models with nonlinear pseudo supersymmetry

$\hbar$-independent Universality of the Quantum-Classical Canonical Transformations

$η$-trigonometric states of four qubits and entanglement measures

$η$-weak-Pseudo-Hermiticity generators and exact solvability

$χ^{(3)}$ non-Gaussian state generation for light using a trapped ion