Interests

Scientific interests

My active research interests are in many-particle correlations in many-electron systems out of equilibrium. Apart from that I try to educate myself on a wide number of other scientific topics. Here follows a list of interests in different fields of science

Physics interests

• Many-body theory for nonequilibrium systems
  1. Molecular conduction
  2. Many-electron systems exposed to short laser pulses
  3. Attosecond response of many-electron systems
• Improvement of many-body methodology
  1. Nonequilibrium Green Functions (Kadanoff-Baym equations)
  2. (Time-dependent) density-functional theory (action principles and variational functionals)
  3. Density matrix functionals (variational functionals)
• Quantum statistical physics
  1. Renormalization group and phase transitions
  2. Quantum liquids and superconductivity
  3. Electron-phonon interactions
• Quantum field theory
  1. Quantum electrodynamics
  2. Spin-statistics theorem
• General quantum physics
  1. Mathematical foundations of the Dirac formalism
  2. Quantum theory and measurement
• Relativity
  1. Representation theory of the Poincare group
  2. General relativity and gravity

Chemistry interests

• Electron correlations and chemical bonding in molecules
  1. Density functional and density matrix theory for molecular dissociation
  2. Green function theory for molecules
• Molecules in laser fields
  1. Laser-induced ionization and dissociation
  2. Coupled electronic and nuclear dynamics
• Electronic transport in molecules
  1. Nonequilibrium Green function theory for molecules
  2. Conduction in conjugated polymers

Mathematics interests

• Functional analysis
  1. Calculus in Banach spaces
  2. Spectral theory of unbounded operators
  3. Distribution theory and the rigged Hilbert space
• Differential geometry
  1. Riemannian geometry
  2. Connections on principal fibre bundles
  3. Atiyah-Singer index theorem
• Group theory
  1. Representation theory
  2. Lie groups
  3. Group algebras and their representations
• Abstract algebra
  1. Galois theory
  2. Clifford algebras and spinors

Nonscientific interests

My other interests are reading (mainly detectives), travelling and watching speed skating, cycling, football and the olympics on television. I am further learning Finnish.

Writers I enjoy reading

• Henning Mankell
• John Grisham
• Michael Crichton
• Arto Paasilinna

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