Axiomatic Study of Quantum Mechanics

Quantum Field Theory / ( Quantum Optics / QED )

Quantum Theory of Measurements

Equilibrium Quantum Statistical Mechanics (Non Interacting Subsystems Case)

Non Equilibrium Quantum Statistical Mechanics (Statistical QFT, Interacting Case)
(Non Equilibrium Green's Functions Formalism

Non Equilibrium (Steady State) Thermodynamics 
(This is more humble extension of equilibrum statistical mechanics!)

Carrier Transport and Scattering (Semi Classical Case)

Coherent Carrier Transport (Complete Quantum Case)
 
 

Optical Properties of Matterials (Optoelectronic Devices)

Magnetic Properties of Matterials (Spintronics)

Band Structure Calculations

Recombination Generation Processes

Device Physics

Bipolar Devices

Guided Wave Device Physics

Thin Film Technology