2013/12/05 by Matthew F. Brown, Brown, Matthew F.
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Mechanics and Applications #advanced mathematical theories #math-ph #math.MP #msc:34Axx #quant-ph
paper · pdf · doi:10.48550/arxiv.1312.1589
20 pages, canonical quantum measurement
arxiv created 2014/03/13 · arxiv updated 2014/03/14
Here we shall consider the idea that the Hamiltonian evolution of a quantum system is generated by sequential observations of the system by a `pseudo-apparatus'. This representation of Hamiltonian dynamics, originally discovered by Belavkin, is a canonical dilation of the Schroedinger equation that reveals a Minkowski space structure outside of the context of Special Relativity. In particular, this formalism gives rise to the notion of a Boosted Schroedinger equation referred to a dilated time increment which is the manifestation of a Lorentz transform in the Minkowski space of the apparatus.