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Introduction to classical and quantum Markov semigroups

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Introduction to classical and quantum Markov semigroups. / Belton, Alexander.
Open Quantum Systems: A Mathematical Perspective. ed. / Dorothea Bahns; Anke Pohl; Ingo Witt. Cham: Birkhauser, 2019. p. 1-54 (Tutorials, Schools, and Workshops in the Mathematical Sciences).

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

Harvard

Belton, A 2019, Introduction to classical and quantum Markov semigroups. in D Bahns, A Pohl & I Witt (eds), Open Quantum Systems: A Mathematical Perspective. Tutorials, Schools, and Workshops in the Mathematical Sciences, Birkhauser, Cham, pp. 1-54. https://doi.org/10.1007/978-3-030-13046-6_1

APA

Belton, A. (2019). Introduction to classical and quantum Markov semigroups. In D. Bahns, A. Pohl, & I. Witt (Eds.), Open Quantum Systems: A Mathematical Perspective (pp. 1-54). (Tutorials, Schools, and Workshops in the Mathematical Sciences). Birkhauser. https://doi.org/10.1007/978-3-030-13046-6_1

Vancouver

Belton A. Introduction to classical and quantum Markov semigroups. In Bahns D, Pohl A, Witt I, editors, Open Quantum Systems: A Mathematical Perspective. Cham: Birkhauser. 2019. p. 1-54. (Tutorials, Schools, and Workshops in the Mathematical Sciences). Epub 2019 Jun 29. doi: 10.1007/978-3-030-13046-6_1

Author

Belton, Alexander. / Introduction to classical and quantum Markov semigroups. Open Quantum Systems: A Mathematical Perspective. editor / Dorothea Bahns ; Anke Pohl ; Ingo Witt. Cham : Birkhauser, 2019. pp. 1-54 (Tutorials, Schools, and Workshops in the Mathematical Sciences).

Bibtex

@inbook{a7702ee570b647b6ab3018b72ffe40e4,
title = "Introduction to classical and quantum Markov semigroups",
abstract = "We provide a self-contained and fast-paced introduction to the theories of operator semigroups, Markov semigroups and quantum dynamical semigroups. The level is appropriate for well-motivated graduate students who have a background in analysis or probability theory, with the focus on the characterisation of infinitesimal generators for various classes of semigroups. The theorems of Hille–Yosida, Hille Yosida–Ray, Lumer–Phillips and Gorini–Kossakowski–Sudarshan–Lindblad are all proved, with the necessary technical prerequisites explained in full. Exercises are provided throughout.",
author = "Alexander Belton",
year = "2019",
doi = "10.1007/978-3-030-13046-6_1",
language = "English",
isbn = "9783030130466",
series = "Tutorials, Schools, and Workshops in the Mathematical Sciences",
publisher = "Birkhauser",
pages = "1--54",
editor = "Dorothea Bahns and Anke Pohl and Ingo Witt",
booktitle = "Open Quantum Systems",

}

RIS

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T1 - Introduction to classical and quantum Markov semigroups

AU - Belton, Alexander

PY - 2019

Y1 - 2019

N2 - We provide a self-contained and fast-paced introduction to the theories of operator semigroups, Markov semigroups and quantum dynamical semigroups. The level is appropriate for well-motivated graduate students who have a background in analysis or probability theory, with the focus on the characterisation of infinitesimal generators for various classes of semigroups. The theorems of Hille–Yosida, Hille Yosida–Ray, Lumer–Phillips and Gorini–Kossakowski–Sudarshan–Lindblad are all proved, with the necessary technical prerequisites explained in full. Exercises are provided throughout.

AB - We provide a self-contained and fast-paced introduction to the theories of operator semigroups, Markov semigroups and quantum dynamical semigroups. The level is appropriate for well-motivated graduate students who have a background in analysis or probability theory, with the focus on the characterisation of infinitesimal generators for various classes of semigroups. The theorems of Hille–Yosida, Hille Yosida–Ray, Lumer–Phillips and Gorini–Kossakowski–Sudarshan–Lindblad are all proved, with the necessary technical prerequisites explained in full. Exercises are provided throughout.

U2 - 10.1007/978-3-030-13046-6_1

DO - 10.1007/978-3-030-13046-6_1

M3 - Chapter

SN - 9783030130466

SN - 9783030130459

T3 - Tutorials, Schools, and Workshops in the Mathematical Sciences

SP - 1

EP - 54

BT - Open Quantum Systems

A2 - Bahns, Dorothea

A2 - Pohl, Anke

A2 - Witt, Ingo

PB - Birkhauser

CY - Cham

ER -