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Siebert-GSQM21.pdf
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🔗 Source: indico.gssi.it
📊 Size: 875 KB
👤 Author: Oliver Siebert (joint with David Hasler)
⬇️ Downloads: 121

Summary

The model consists of an atom represented by the Schrödinger operator Hp = −∆+ V on L2(R3) and a quantized field represented by the Weyl algebra W over L2(R3, (1 + |k|−1)). The GNS representation is used with a density matrix on L(Hp) and the Araki-Woods representation for inverse temperature β > 0. The Liouvillian is a self-adjoint operator Lλ on H, and the time evolution is given by σt,λ(A) := eitLλAe−itLλ. The question investigates whether ker Lλ = {0} implies no time-invariant normal states on Mβ, with physical interpretation as ionization, to be proved via spectral theory.

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The model consists of an atom represented by the Schrödinger operator Hp = −∆+ V on L2(R3) and a quantized field represented by the Weyl algebra W over L2(R3,...

Technical Information

  • File Format: PDF
  • File Size: 875 KB
  • Pages: 64
  • Language: EN
  • Author: Oliver Siebert (joint with David Hasler)
  • Total Downloads: 121
  • Last Updated: 1 month ago

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