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Welcome to Chiao's Research log

Contents 1 Work 1.1 Papers 1.2 Projects 1.3 Topics 2 General Interest 2.1 Motivation 2.2 To Do 2.3 Topics 2.4 Classes 3 Miscellaneous

[edit] Work

[edit] Papers

• Rydberg state Energies using Ground State DFT

[edit] Projects

• TBDFT
• Onsager Reorg
  • Group Meeting March 2008
• Jarzynski Convergence
• Rydberg States
  • Hydrogen Atom
• Steady State
  • Electron Pump
  • PPP Model
• Cache
• Exactly Reversible Unitary Propagator
• Car-Parrinello
• Oxygen Generating Complex
• Formal Proof and Quantum Mechanics
• Inverse Problem

[edit] Topics

• Optimization
  • LNVD Density Matrix Minimization
• Propagators:
  • Magnus Expansion
  • Predictor-Correctors
    • Adams-Bashforth-Moulton
  • Runge-Kutta Munte-Kaas
  • TDDFT Applications
  • Fockbuild Cache
    • MaxEnt Fockbuild
• MD Tools
  • Creating Solvent Boxes
• Reduced Hamiltonians:
  • Open Systems
  • Excitonic Hamiltonians
  • Inferred Hamiltonians:
    • Maximum Entropy
    • Information Theory
  • Reduced DOF
  • CI DFT
• Math:
  • Filter Diagonalization
  • Linear Prediction
  • Principle Component Analysis
  • Sampling Theory
• Group Technology
  • Constrained DFT
• Group Meeting
  • Group Meeting November 2005

[edit] General Interest

Dusty

Well Defined Problems

Software References

Martingales

[edit] Motivation

• Top-Down Physics
• Problem Statement

[edit] To Do

• Set up simple NaCl Calculation
• Set up simple DMRG Calculation

[edit] Topics

• DFT Theorems
  • Hohenberg-Kohn Theorem
  • Runge-Gross Theorem
• Density Matrix Renormalization Group
• Lagrangian Formulation of Quantum Mechanics

• http://srikant.org/thesis/thesis.html

• Control Theory
  • Feedback for physicists: A tutorial essay on control

• Math
  • Lanczos Iteration
  • Jacobi-Davidson Iteration
  • Fast Multipole Methods

http://linux-ip.net/html/routing-intro.html

[edit] Classes

• 8.514 - Strongly Correlated Systems in Condensed Matter Physics
• 18.366 - Random Walks and Diffusion

[edit] Miscellaneous

• Printed Heap
• Wishlist
• Timelog