• Corpus ID: 8419567

Quantum Stochastics, Dirac Boundary Value Problem, and the Ultra Relativistic Limit

@article{Belavkin2005QuantumSD,
  title={Quantum Stochastics, Dirac Boundary Value Problem, and the Ultra Relativistic Limit},
  author={Viacheslav P. Belavkin},
  journal={arXiv: Quantum Physics},
  year={2005}
}
  • V. Belavkin
  • Published 22 December 2005
  • Physics
  • arXiv: Quantum Physics
We prove that a single-jump quantum stochastic unitary evolution is equivalent to a Dirac boundary value problem on the half line in an extra dimension. This amounts to the equivalence of the quantum measurement boundary-value problem in infinite number particles space to the stochastic calculus in Fock space. It is shown that this exactly solvable model can be obtained from a Schroedinger boundary value problem for a positive relativistic Hamiltonian in the half-line as the inductive ultra… 

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