About Me
Theoretical Physicist specializing in the intersection of high-energy physics and mathematical structures.
8+
Years of
Experience
Experience
25+
Research
Papers
Papers
99%
Teaching
Rating
Rating
Research Areas
Photonic Sensors
Design of advanced photonic sensors using non-Hermitian and fractional quantum mechanics. Developing fractal and PT-symmetric waveguide structures for enhanced light localization.
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def schrodinger_eq(psi, V):
"""Time-dependent solver"""
H = - (hbar**2 / 2*m) * laplacian + V
return i * hbar * dt(psi) == H * psi
"""Time-dependent solver"""
H = - (hbar**2 / 2*m) * laplacian + V
return i * hbar * dt(psi) == H * psi
Non-Hermitian Quantum Mechanics
Exploring Non-Hermitian Quantum Theories and their applications, specifically Parity-Time (PT) reversal phase transitions and Exceptional Points.
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Hamiltonian H = p^2/2m + V(x)
if (H != H.dagger):
print("Non-Hermitian System Detected")
analyze_pt_symmetry()
if (H != H.dagger):
print("Non-Hermitian System Detected")
analyze_pt_symmetry()
Fractal Quantum Systems
Investigating tunneling features in fractal potentials and Generalized Smith-Volterra-Cantor potentials.
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class FractalDimension:
def calculate(self, set):
return log(N) / log(1/s)
def calculate(self, set):
return log(N) / log(1/s)