Research Interests

Gravitational Waves 

  1. Chirp Transforms for Non-templated BBH (Binary Black Holes) Merger Gravitational-Wave Signal Detection Using Spectrograms
  2. The Fourier Transform of the Continuous Gravitational Wave Signals
  3. Analytic approach for the study of pulsar spindown

 

The Lambert Function in quantum statistics

  1. Complex energies and the Lambert W function
  2. Electronic properties of graphene nanoribbons and the offset logarithm function
  3. Lambert W function methods in double square well and waveguide problems
  4. Lambert W and the Generalized Lambert W Functions in Metamaterials
  5. The quantum finite square well and the Lambert W function
  6. Solar cells and the Lambert W function

 

Polylogarithm functions 

  1. An Analytic Study of the Wiedemann-Franz Law and the Thermoelectric Figure of Merit
  2. Band structure and transport studies of half Heusler compound DyPdBi: An efficient thermoelectric material
  3. Analytic Models of Brown Dwarfs and The Substellar Mass Limit

 

Generalized Ising Model of the Brain

  1. Modeling an auditory stimulated brain under altered states of consciousness using the generalized Ising model
  2. Role of Dimensionality in Predicting the Spontaneous Behavior of the Brain Using the Classical Ising Model and the Ising Model Implemented on a Structural Connectome
  3. Blood Oxygenation Levels of the Brain 

 

Heisenberg-Euler Lagrangian and Mathematical Modelling

  1. Vacuum birefringence, the photon anomalous magnetic moment and the neutron star
    RX J1856.5-3754
  2. Some mathematical models of
    COVID-19 transmission and the role of protective measur