Number Theory and Quantum Mechanics

by G. Mussardo (2 credits)



  • Prime suspects
  • Problem with the spectra
  • Spectral functions
  • Semi-classical approximation
  • Truncated Hilbert Space Approach
  • Supersymmetric Quantum Mechanics
  • Isospectral potentials
  • Inverse Scattering Method
  • Potential whose spectrum is made of all and only primes
  • Distribution of primes and randomness
  • Dirichlet characters
  • L-Dirichlet functions as Partition Functions
  • Functional Equations and Duality
  • Random Walk and Generalised Riemann Hypothesis

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