Mathematics and Physics
http://hdl.handle.net/2160/283
2015-10-07T15:45:45ZTidal Influences at the Lunar Crater Aristarchus and Transient Lunar Phenomena
http://hdl.handle.net/2160/10480
Tidal Influences at the Lunar Crater Aristarchus and Transient Lunar Phenomena
Cook, A. C.
This abstract investigates whether there is an obvious correlation between transient lunar phenomena and Earth tides on the Moon, as has been claimed in past publications. Aristarchus Crater observations are used in this study.
Contribution No. 1608
2011-03-07T00:00:00ZCharacteristic Functions of Liftings
http://hdl.handle.net/2160/7640
Characteristic Functions of Liftings
Dey, Santanu; Gohm, Rolf
We introduce characteristic functions for certain contractive liftings of row contractions. These are multi-analytic operators which classify the liftings up to unitary equivalence and provide a kind of functional model. The most important cases are subisometric and coisometric liftings. We also identify the most general setting which we call reduced liftings. We derive properties of these new characteristic functions and discuss the relation to Popescu's definition for completely non-coisometric row contractions. Finally we apply our theory to completely positive maps and prove a one-to-one correspondence between the fixed point sets of completely positive maps related to each other by a subisometric lifting.
2011-10-31T00:00:00ZNon-commutative Markov chains and multi-analytic operators
http://hdl.handle.net/2160/3976
Non-commutative Markov chains and multi-analytic operators
Gohm, Rolf
We study a model of repeated interaction between quantum systems which can be thought of as a non-commutative Markov chain. It is shown that there exists an outgoing Cuntz scattering system associated to this model which induces an inputâ€“output formalism with a transfer function corresponding to a multi-analytic operator, in the sense of multivariate operator theory. Finally we show that observability for this system is closely related to the scattering theory of non-commutative Markov chains.
Journal of Mathematical Analysis and Applications, Volume 364, Issue 1, 1 April 2010, Pages 275-288
2010-04-01T00:00:00ZQuantum Markovian Approximations for Fermionic Reservoirs
http://hdl.handle.net/2160/2757
Quantum Markovian Approximations for Fermionic Reservoirs
Gough, John E.; Sobolev, Adrei
We establish a quantum functional central limit for the dynamics of a system coupled to a Fermionic bath with a general interaction linear in the creation, annihilation and scattering of the bath reservoir. Following a quantum Markovian limit, we realize the open dynamical evolution of the system as an adapted quantum stochastic process driven by Fermionic Noise.
Infinite Dimensional Analysis, Quantum Probability and Related Topics (IDAQP) Volume: 8, Issue: 3 (2005) pp. 453-471 DOI: 10.1142/S0219025705002062
2005-09-01T00:00:00Z