Quantum dots and cuboid quantum wells in fractal dimensions with position-dependent masses

RA El-Nabulsi, W Anukool - Applied Physics A, 2021 - Springer
In this study, we have constructed a generalized Schrödinger equation in fractal dimensions
characterized by an effective potential which is generated by a position-dependent mass …

Analytical solutions fractional order partial differential equations arising in fluid dynamics

S Behera, JSP Virdi - Applied Mathematics-A Journal of Chinese …, 2024 - Springer
This article describes the solution procedure of the fractional Pade-II equation and
generalized Zakharov equation (GSEs) using the sine-cosine method. Pade-II is an …

Complex Invariants Corresponding Non-hermitian -Symmetric Hamiltonian

JS Virdi - International Conference on Nonlinear Dynamics and …, 2024 - Springer
In this work, we build exact dynamical invariants for complex Hamiltonian systems. Our aim
is to extract an further understanding into the aspects of a dynamical system, we build here …

On Different Approaches for Integrals of Physical Dynamical Systems

JS Virdi - Discontinuity, Nonlinearity, and Complexity, 2020 - lhscientificpublishing.com
For driven time dependent harmonic oscillator a detailed and systematic study of several
methods for the building of Integrals is carried out. The central feature of the present …