# 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} }

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…

## 6 Citations

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