Abstract This paper reports the results of an ongoing in-depth analysis classical trajectories class non-Hermitian PT -symmetric Hamiltonians H = p 2 + x ( ix ) ε ⩾ 0). A variety phenomena, heretofore overlooked, have bee...

Abstract Recursion is a mature, well-understood topic in the theory and practice of programming. Yet its dual, corecursion underappreciated still seen as exotic. We aim to put them both on equal footing by giving foundation for primitive based computation, terminating calculus analogous original computational recursion. show how implementation details an abstract machine strengthens their conne...

an attempt is made to show in a straightforward way how a body-fixed frame may be constructed in classical and hence in quantum mechanics for a polyatomic molecule with the aid of which the vibration-rotation behavior of the molecule may be described.

This paper investigates the lateral vibration of single-layered graphene sheets based on a new theory called doublet mechanics with a length scale parameter. After a brief reviewing of doublet mechanics fundamentals, a sixth order partial differential equation that governs the lateral vibration of single-layered graphene sheets is derived. Using doublet mechanics, the relation between natural f...