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pro vyhledávání: '"Brown, Matthew F."'
Autor:
Brown, Matthew F.
We start with a discussion of the use of mathematics to model the real world then justify the role of Hilbert space formalism for such modelling in the general context of quantum logic. Following this, the incompleteness of the Schr\"odinger equation
Externí odkaz:
http://arxiv.org/abs/2403.13114
Autor:
Brown, Matthew F.
The basic idea here is that observation (or one's experience) is fundamental and the `atomic world' is postulated as the source of such observation. Once this source has been inferred to exist one may attempt to explicitly derive its structure in suc
Externí odkaz:
http://arxiv.org/abs/2102.01808
Akademický článek
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Autor:
Brown, Matthew F.
In this paper we shall re-visit the well-known Schr\"odinger and Lindblad dynamics of quantum mechanics. However, these equations may be realized as the consequence of a more general, underlying dynamical process. In both cases we shall see that the
Externí odkaz:
http://arxiv.org/abs/1407.2875
Autor:
Brown, Matthew F.
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 can
Externí odkaz:
http://arxiv.org/abs/1312.1589
We study the continuity property of multiple Q-adapted quantum stochastic integrals with respect to noncommuting integrands given by the non-adapted multiple integral kernels in Fock scale. The noncommutative algebra of relatively (exponentially) bou
Externí odkaz:
http://arxiv.org/abs/1112.0159
In this paper we first introduce the Fock-Guichardet formalism for the quantum stochastic integration, then the four fundamental processes of the dynamics are introduced in the canonical basis as the operator-valued measures of the QS integration ove
Externí odkaz:
http://arxiv.org/abs/1112.0147
Autor:
Brown, Matthew F.
Here it is shown that the unitary dynamics of a quantum object may be obtained as the conditional expectation of a counting process of object-clock interactions. Such a stochastic process arises from the quantization of the clock, and this is derived
Externí odkaz:
http://arxiv.org/abs/1111.7043
Akademický článek
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Autor:
Zorba, Adelajda, Nguyen, Chuong, Xu, Yingrong, Starr, Jeremy, Borzilleri, Kris, Smith, James, Zhu, Hongyao, Farley, Kathleen A., Ding, WeiDong, Schiemer, James, Feng, Xidong, Chang, Jeanne S., Uccello, Daniel P., Young, Jennifer A., Garcia-Irrizary, Carmen N., Czabaniuk, Lara, Schuff, Brandon, Oliver, Robert, Montgomery, Justin, Hayward, Matthew M., Coe, Jotham, Chen, Jinshan, Niosi, Mark, Luthra, Suman, Shah, Jaymin C., El-Kattan, Ayman, Qiu, Xiayang, West, Graham M., Noe, Mark C., Shanmugasundaram, Veerabahu, Gilbert, Adam M., Brown, Matthew F., Calabrese, Matthew F.
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2018 Jul . 115(31), E7285-E7292.
Externí odkaz:
https://www.jstor.org/stable/26529384
