Quantum Mechanics

1. Related Fields and Extended Topics
   1. Quantum Information Theory
      1. Information Entropy
         1. Entropy in classical vs. quantum systems
         2. Von Neumann entropy
         3. Quantum mutual information
      2. Quantum Communication
         1. Quantum channels
         2. Quantum teleportation
         3. Superdense coding
         4. Quantum networks and repeaters
      3. Quantum Computing Connections
         1. Quantum circuit model
         2. Quantum error-correcting codes
         3. Relationship between quantum computation and information
   2. Solid-State Physics
      1. Quantum Mechanics in Crystal Lattices
         1. Bloch's theorem
         2. Quantum mechanical description of electron waves
         3. Lattice vibrations and phonons
      2. Band Theory of Solids
         1. Energy bands and band gaps
         2. Conductors, semiconductors, and insulators
         3. Fermi surfaces and Brillouin zones
      3. Quantum Hall Effect in Solids
         1. Effects in semiconductors
         2. Electrical conductivity quantization
   3. Particle Physics
      1. Standard Model
         1. Quantum field theories unification
         2. Gauge symmetry and particles
         3. Electroweak theory and Higgs mechanism
      2. Particle-Wave Duality at High Energies
         1. High-energy particle collisions
         2. Quantum chromodynamics in particle physics
         3. Role of particle accelerators
      3. Quantum Field Theory Extensions
         1. String theory concepts
         2. Supersymmetry and beyond standard model theories
   4. Quantum Biology
      1. Photosynthesis Efficiency
         1. Role of quantum coherence in energy transfer
         2. Light-harvesting complexes
         3. Quantum mechanics in pigment-protein interactions
      2. Enzyme Reactions and Tunneling
         1. Quantum tunneling in biochemical reactions
         2. Enzyme active sites and quantum effects
         3. Hydrogen transfer and isotope effects
      3. Magnetoreception in Animals
         1. Quantum entanglement in avian navigation
         2. Radical pair mechanism
         3. Biological implications of quantum effects
      4. Quantum Effects in DNA and Protein Structures
         1. Quantum biological processes in genetic mutations
         2. Electron transfer in DNA
         3. Protein folding and conformational changes through quantum interactions