Quantum dynamics · Interactive
Discrete Variable Representation
Build a Fourier-grid DVR, choose a potential and grid, and compare its eigenfunctions.
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Detailed notes on quantum dynamics, spectroscopy, and numerical methods.
Tutorials, derivations, worked examples, and interactive calculations that develop each method step by step.
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Numerical methods · Interactive
Chebyshev Propagator
Derive the recursion, then propagate a three- or four-level model and inspect the error.
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Numerical methods · Interactive
Fast Fourier Transform
Construct the DFT matrix, follow each radix-2 stage, and inspect a test signal in frequency space.
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Spectroscopy · Interactive
Linear Spectra of a Two-Level System
Combine Drude–Lorentz and underdamped Brownian baths, then calculate the resulting lineshape.
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Operator transforms
Polaron Transform of the Frenkel Exciton Model
How a unitary displacement dresses excitons and renormalizes electronic coupling.
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Operator transforms
Variational Polaron Transform
Interpolating between weak and strong coupling through optimized bath displacements.
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Operator transforms
Schrieffer–Wolff Transform
Block-diagonalizing coupled Hamiltonians to expose their effective low-energy physics.
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