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    Reference Work Entry In depth

    Conditioning of Quantum Open Systems

    The underlying probabilistic theory for quantum mechanics is non-Kolmogorovian. The time-order in which physical observables are measured will be important if they are incompatible (non-commuting). In particul...

    John Gough in Encyclopedia of Systems and Control (2021)

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    Living Reference Work Entry In depth

    Conditioning of Quantum Open Systems

    The underlying probabilistic theory for quantum mechanics is non-Kolmogorovian. The time-order in which physical observables are measured will be important if they are incompatible (non-commuting). In particul...

    John Gough in Encyclopedia of Systems and Control

  3. Article

    Open Access

    A Trotter-Kato theorem for quantum Markov limits

    Using the Trotter-Kato theorem we prove the convergence of the unitary dynamics generated by an increasingly singular Hamiltonian in the case of a single field coupling. The limit dynamics is a quantum stochas...

    Luc Bouten, Rolf Gohm, John Gough, Hendra Nurdin in EPJ Quantum Technology (2015)

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    Article

    Singular Perturbation of Quantum Stochastic Differential Equations with Coupling Through an Oscillator Mode

    We consider a physical system which is coupled indirectly to a Markovian resevoir through an oscillator mode. This is the case, for example, in the usual model of an atomic sample in a leaky optical cavity whi...

    John Gough, Ramon van Handel in Journal of Statistical Physics (2007)

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    Article

    Quantum Flows as Markovian Limit of Emission, Absorption and Scattering Interactions

    We consider a Markovian approximation, of weak coupling type, to an open system perturbation involving emission, absorption and scattering by reservoir quanta. The result is the general form for a quantum stoc...

    John Gough in Communications in Mathematical Physics (2005)

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    Article

    Stochastic Schrödinger Equations as Limit of Discrete Filtering

    We consider an open model possessing a Markovian quantum stochastic limit and derive the limit stochastic Schrödinger equations for the wave function conditioned on indirect observations using only the von Neu...

    John Gough, Andrei Sobolev in Open Systems & Information Dynamics (2004)

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    Article

    Holevo-Ordering and the Continuous-Time Limit for Open Floquet Dynamics

    We consider an atomic beam reservoir as a source of quantum noise. The atoms are modelled as two-state systems and interact one-at-a-time with the system. The Floquet operators are described in terms of the Fe...

    JOHN GOUGH in Letters in Mathematical Physics (2004)

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    Article

    Reflections on Skemp’s contributions to mathematical education

    John Gough in Mathematics Education Research Journal (2004)

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    Article

    Stochastic Canonical Flows

    There has been some opposition to the use of Markov processes in quantum mechanics based upon the fact that no quantum mechanical regression principle can be applied. It is argued here however that one may jus...

    John Gough in Open Systems & Information Dynamics (2000)

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    Article

    Opinion: ‘Learning Technologies’? ‘Convergent Technologies’? What Do These Mean?

    Sometimes in curriculum development, and everyday usage, a new term, or new piece of jargon, springs into common use, and everyone seems to know what it means, yet no one can give a clear definition of just wh...

    John Gough in Education and Information Technologies (2000)

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    Article

    The Stratonovich Interpretation of Quantum Stochastic Approximations

    The Stratonovich version of non-commutative stochastic calculus is introduced and shown to be equivalent to the Itô version developed by Hudson and Parthasarathy [1]. The conversion from Stratonovich to Itô ve...

    John Gough in Potential Analysis (1999)

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    Article

    Tolkien's Creation Myth in The Silmarillion—Northern or Not?

    John Gough in Children's Literature in Education (1999)

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    Article

    Quantum Stochastic Linearization of Multi-Linear Interactions

    The weak coupling limit for a quantum system, with discrete spectrum, in interaction with a quantum field reservoir is considered. Depending on the nature of the reservoir (i.e. bosonic or fermionic) and the d...

    Luigi Accardi, John Gough, YunGang Lu in Open Systems & Information Dynamics (1998)

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    Chapter and Conference Paper

    Type test elimination using typeflow analysis

    Programs written in languages of the Oberon family usually contain runtime tests on the dynamic type of variables. In some cases it may be desirable to reduce the number of such tests. Typeflow analysis is a stat...

    Diane Corney, John Gough in Programming Languages and System Architectures (1994)

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    Article

    Rivalry, rejection, and recovery: Variations of the Cinderella story

    John Gough in Children's Literature in Education (1990)

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    Article

    Tapestries of image and emotion: The novels of Christobel Mattingley

    John Gough in Children's Literature in Education (1987)

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    Article

    Poems in a context: breaking the anthology trap

    John Gough in Children's Literature in Education (1984)

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    Article

    An interview with John Christopher

    John Christopher is a well known, prize-winning writer. His adult novelThe Death of Grass was runner-up for the International Fantasy Award when Tolkien'sThe Lord of the Rings won first prize. Similarly his child...

    John Gough in Children's Literature in Education (1984)

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    Article

    C S Lewis and the problem of David Holbrook

    John Gough in Children's Literature in Education (1977)