401 citations · 1.2k across the 62 of their papers we have counts for
34 papers · 1 filter
Quantum clock and Newtonian time
Dorje C. Brody, Lane P. Hughston
An extension of standard quantum mechanics is proposed in which the Newtonian time appearing as a parameter in the unitary evolution operator is replaced with the time shown by a `…
Martingale Projections and Quantum Decoherence
Lane P. Hughston, Levent A. Mengütürk
We introduce so-called super/sub-martingale projections as a family of endomorphisms defined on unions of Polish spaces. Such projections allow us to identify martingales as collec…
Decoherence Implies Information Gain
Dorje C. Brody, Lane P. Hughston
It is shown that if the wave function of a quantum system undergoes an arbitrary random transformation such that the diagonal elements of the density matrix in the decoherence basi…
Valuation of a Financial Claim Contingent on the Outcome of a Quantum Measurement
Lane P. Hughston, Leandro Sánchez-Betancourt
We consider a rational agent who at time enters into a financial contract for which the payout is determined by a quantum measurement at some time . The state of the quant…
Lévy Models for Collapse of the Wave Function
Dorje C. Brody, Lane P. Hughston
Recently there has been much progress in the development of stochastic models for state reduction in quantum mechanics. In such models, the collapse of the wave function is a physi…
Quantum Measurement of Space-Time Events
Dorje C. Brody, Lane P. Hughston
The phase space of a relativistic system can be identified with the future tube of complexified Minkowski space. As well as a complex structure and a symplectic structure, the futu…