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Books on the topic 'Commutator theory'

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Published: 9 March 2023

Last updated: 10 March 2023

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1

Freese, Ralph. Commutator theory for congruence modular varieties. Cambridge: Cambridge University Press, 1987.

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2

Freese, Ralph S. Commutator theory for congruence modular varieties. Cambridge [Cambridgeshire]: Cambridge University Press, 1987.

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3

Boutet de Monvel-Berthier, Anne, 1948- and Georgescu V. 1947-, eds. C₀-groups, commutator methods, and spectral theory of N-Body Hamiltonians. Basel: Birkhäuser Verlag, 1996.

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4

Amrein, Werner O., Anne Boutet de Monvel, and Vladimir Georgescu. C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians. Basel: Springer Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-0733-3.

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5

Amrein, Werner O., Anne Boutet Monvel, and Vladimir Georgescu. C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians. Basel: Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-7762-6.

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6

Boutet, Monvel Anne, and Georgescu Vladimir, eds. C 0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians. Basel: Birkhäuser Basel, 1996.

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7

Kalton, Nigel J. Nonlinear commutators in interpolation theory. Providence, R.I., USA: American Mathematical Society, 1988.

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8

Bru, J. B., and W. de Siqueira Pedra. Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-45784-0.

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9

Lázár, J. Park-vector theory of line-commutated three-phase bridge converters. Budapest: OMIKK, 1987.

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10

Modern digital design and switching theory. Boca Raton: CRC Press, 1992.

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11

V, Karasev M., Shishkova Maria, and American Mathematical Society, eds. Quantum algebras and Poisson geometry in mathematical physics. Providence, R.I: American Mathematical Society, 2005.

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12

Roth, Charles H. Instructor's solutions manual for fundamentals of logic design. Australia: Thomson, 2004.

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13

Russell, Travis. Signaling System #7. New York: McGraw-Hill, 1995.

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14

Signaling system #7. 2nd ed. New York: McGraw-Hill, 1998.

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15

Signaling system #7. 3rd ed. New York: McGraw-Hill, 2000.

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16

Georgescu, Vladimir, Werner O. Amrein, and Anne Boutet de Monvel. C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians. Springer Basel AG, 2013.

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17

Georgescu, Vladimir, Werner O. Amrein, and Anne Boutet de Monvel. C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians. Birkhauser Verlag, 2013.

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18

Czelakowski, Janusz. Equationally-Defined Commutator: A Study in Equational Logic and Algebra. Birkhauser Verlag, 2015.

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19

Czelakowski, Janusz. The Equationally-Defined Commutator: A Study in Equational Logic and Algebra. Birkhäuser, 2016.

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20

Czelakowski, Janusz. The Equationally-Defined Commutator: A Study in Equational Logic and Algebra. Birkhäuser, 2015.

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21

Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Springer, 2016.

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22

Bru, J. B., and W. de Siqueira Pedra. Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Springer, 2016.

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23

Isett, Philip. The Coarse Scale Flow and Commutator Estimates. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0016.

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This chapter derives estimates for the coarse scale flow and commutator. Instead of mollifying the velocity field in the time variable, it derives a Transport equation for vsubscript Element and some estimates that will be necessary for the proof. Here the quadratic term arises from the failure of the nonlinearity to commute with the averaging. Commutator estimates are then derived. To observe cancellation in the quadratic term, the control over the higher-frequency part of v is used, and cancellation is obtained from the lower-frequency parts. It becomes clear that the commutator terms can be estimated using the control of only the derivatives of v. The chapter concludes by presenting the theorem for coarse scale flow estimates.

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24

Mansour, Toufik, and Matthias Schork. Commutation Relations, Normal Ordering, and Stirling Numbers. Taylor & Francis Group, 2015.

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25

Mansour, Toufik, and Matthias Schork. Commutation Relations, Normal Ordering, and Stirling Numbers. Taylor & Francis Group, 2015.

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26

Fabricius, Eugene D. Modern Digital Design and Switching Theory. Taylor & Francis Group, 2017.

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27

Fabricius, Eugene D. Modern Digital Design and Switching Theory. Taylor & Francis Group, 2017.

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28

Fabricius, Eugene D. Modern Digital Design and Switching Theory. Taylor & Francis Group, 2017.

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29

Fabricius, Eugene D. Modern Digital Design and Switching Theory. Taylor & Francis Group, 2017.

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30

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Fermions and Functional Formalism. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0011.

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The introduction of spinor fields and the problem of the positivity of the energy. Need for anti-commutators. Calculus in a Grassmannian manifold, the Berezin integral. Clifford algebras. Quantum mechanics and quantum field theory with fermions. The use of path integrals.

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31

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Quantum Field Theories with a Large Number of Fields. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0023.

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The large N limit of field theories is studied for fields belonging to the vector representation of O(N) and the adjoint representation of SU(N). The first case gives a solvable model while in the second case a classical field theory may emerge with the commutators replaced by Poisson brackets.

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32

Fabricius, Eugene D. Modern Digital Design and Switching Theory. Taylor & Francis Group, 2017.

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33

Moore, R. T., and P. E. T. Jørgensen. Operator Commutation Relations: Commutation Relations for Operators, Semigroups, and Resolvents with Applications to Mathematical Physics and Representations of Lie Groups. Springer, 2012.

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34

Bryukhovetskiy, Andrey S. Human Brain Theory: Information-Commutation Device of the Brain and Principles of Its Work and Modeling. Nova Science Publishers, Incorporated, 2016.

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35

Drum Armatures and Commutators, Theory and Practice: A Complete Treatise on the Theory and Construction of Drum Winding, and of Commutators for Closed-Coil Armatures, Together with a Full Résumé of Some of the Principal Points Involved in Their Design; A. Creative Media Partners, LLC, 2022.

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36

Weymouth, F. Marten. Drum Armatures and Commutators, Theory and Practice: A Complete Treatise on the Theory and Construction of Drum Winding, and of Commutators for Closed-Coil Armatures, Together with a Full Résumé of Some of the Principal Points Involved in Their Design; A. Creative Media Partners, LLC, 2018.

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37

Isett, Philip. Stress Terms Not Involving Solving the Divergence Equation. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0025.

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This chapter estimates the terms in the new stress that do not involve solving the divergence equation. These terms are the Mollification terms and the Stress term. Throughout the estimates, Bsubscript Greek Small Letter Lamda will be assumed to be some constant. After considering the Mollification term from the velocity, the chapter introduces a proposition stating that for k = 0, … , L, there exist constants Cₖ depending on Bsubscript Greek Small Letter Lamda. It then estimates the material derivative, highlighting wastefulness in the estimate, and discusses a commutator estimate suggesting that it may be important to work with frequency energy levels of order L greater than or equal to 2. Finally, it presents the Mollification term from the stress as well as estimates for the Stress term.

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38

Deruelle, Nathalie, and Jean-Philippe Uzan. Riemannian manifolds. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0042.

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This chapter introduces the Riemann tensor characterizing curved spacetimes, and then the metric tensor, which allows lengths and durations to be defined. As shown in the preceding chapter, ‘absolute, true, and mathematical’ spacetimes representing ‘relative, apparent, and common’ space and time in Einstein’s theory are Riemannian manifolds supplied with a metric and its associated Levi-Civita connection. Moreover, this metric simultaneously describes the coordinate system chosen to reference the events. The chapter begins with a study of connections, parallel transport, and curvature; the commutation of derivatives, torsion, and curvature; geodesic deviation and curvature; the metric tensor and the Levi-Civita connection; and locally inertial frames. Finally, it discusses Riemannian manifolds.

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39

ATM & MPLS Theory & Application: Foundations of Multi-Service Networking. Osborne/McGraw-Hill, 2002.

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40

Horing, Norman J. Morgenstern. Identical Particles and Second Quantization: Occupation Number Representation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0002.

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Focusing on systems of many identical particles, Chapter 2 introduces appropriate operators to describe their properties in terms of Schwinger’s “measurement symbols.” The latter are then factorized into “creation” and “annihilation” operators, whose fundamental properties and commutation/anticommutation relations are derived in conjunction with the Pauli exclusion principle. This leads to “second quantization” with the Hamiltonian, number, linear and angular momentum operators expressed in terms of the annihilation and creation operators, as well as the occupation number representation. Finally, the concept of coherent states, as eigenstates of the annihilation operator, having minimum uncertainty, is introduced and discussed in detail.

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41

Horing, Norman J. Morgenstern. Schwinger Action Principle and Variational Calculus. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0004.

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Chapter 4 introduces the Schwinger Action Principle, along with associated particle and potential sources. While the methods described here originally arose in the relativistic quantum field theory of elementary particle physics, they have also profoundly advanced our understanding of non-relativistic many-particle physics. The Schwinger Action Principle is a quantum-mechanical variational principle that closely parallels the Hamilton Principle of Least Action of classical mechanics, generalizing it to include the role of quantum operators as generalized coordinates and momenta. As such, it unifies all aspects of quantum theory, incorporating Hamilton equations of motion for those operators and the Heisenberg equation, as well as producing the canonical equal-time commutation/anticommutation relations. It yields dynamical coupled field equations for the creation and annihilation operators of the interacting many-body system by variational differentiation of the Hamiltonian with respect to the field operators. Also, equations for the development of matrix elements (underlying Green’s functions) are derived using variations with respect to particle and potential “sources” (and coupling strength). Variational calculus, involving impressed potentials, c-number coordinates and fields, also quantum operator coordinates and fields, is discussed in full detail. Attention is given to the introduction of fermion and boson particle sources and their use in variational calculus.

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42

Proceedings of the Seventeenth International Symposium on Multiple Valued Logic (International Symposium on Multiple-Valued Logic//Proceedings). Ieee, 1987.

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43

O'Donnell, Ian. Classifying Clemency. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198798477.003.0002.

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‘Clemency’ refers to a reduction, by politicians, in the severity of punishments lawfully imposed by judges. It includes reprieve, commutation, remission, pardon, and amnesty. A considerable amount can be learned from the primary sources about the attributes of those to whom clemency was shown and how they differed from those who were executed in terms of age, gender, homicide method, and motivation. It is suggested that there were three routes to clemency—justice, mercy, and caprice—and these are set out after the pertinent case characteristics are reviewed and the various stages between the imposition of a death sentence and its implementation are outlined. Justice was about tailoring the punishment to the individual’s circumstances so that variations in culpability and harm were taken fully into account. Mercy was when deserved punishment was softened out of compassion for the offender’s plight. Caprice was when clemency resulted from an unexpected turn of events.

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44

The Sixteenth International Symposium on Multiple-Valued Logic: Proceedings/86Ch22897 (International Symposium on Multiple-Valued Logic//Proceedings). Ieee, 1986.

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45

O'Donnell, Ian. Undoing Death II. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198798477.003.0009.

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This chapter continues the analysis of death penalty cases resulting in commutation. Some involved men who were in possession of arms that they used to devastating effect for a miscellany of reasons. All of these killings occurred between August 1922 and December 1923, as the country was embroiled in, and then emerging from, a period of civil war. Others exhibited signs of mental instability which fell short of establishing legal insanity. Some behaved bizarrely and others seemed to lack insight into the harm they had caused. Sometimes chronic alcohol abuse was a factor. Several were serving members of the National Army and a war record was sometimes referenced in clemency petitions. Some commutations were chivalrous and, had the murderer not been female, an execution would almost certainly have ensued. The final group—all men—would have died had not unforeseen events intervened; these were cases where the decision to grant clemency was capricious.

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46

Switching Phenomena in High-Voltage Circuit Breakers. CRC Press LLC, 2017.

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47

Nakanishi. Switching Phenomena in High-Voltage Circuit Breakers. CRC Press LLC, 2017.

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48

Nakanishi. Switching Phenomena in High-Voltage Circuit Breakers. CRC Press LLC, 2017.

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49

Nakanishi. Switching Phenomena in High-Voltage Circuit Breakers. CRC Press LLC, 2017.

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50

Cooperative Control of Complex Network Systems with Dynamic Topologies. Taylor & Francis Group, 2021.

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