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|b N39 1995eb
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|a 515/.72
|2 20
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| 100 |
1 |
|
|a Nazaĭkinskiĭ, V. E.
|
| 245 |
1 |
0 |
|a Methods of noncommutative analysis :
|b theory and applications /
|c Vladimir E. Nazaikinskii, Victor E. Shatalov, Boris Yu. Sternin.
|
| 260 |
|
|
|a Berlin ;
|a New York :
|b Walter de Gruyter,
|c 1995.
|
| 300 |
|
|
|a 1 online resource (x, 373 pages)
|
| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a data file
|2 rda
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| 490 |
1 |
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|a De Gruyter studies in mathematics ;
|v 22
|
| 504 |
|
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|a Includes bibliographical references and index.
|
| 505 |
0 |
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|a Preface -- I Elementary Notions of Noncommutative Analysis -- 1 Some Situations where Functions of Noncommuting Operators Arise -- 1.1 Nonautonomous Linear Differential Equations of First Order. T-Exponentials -- 1.2 Operators of Quantum Mechanics. Creation and Annihilation Operators -- 1.3 Differential and Integral Operators -- 1.4 Problems of Perturbation Theory -- 1.5 Multiplication Law in Lie Groups -- 1.6 Eigenfunctions and Eigenvalues of the Quantum Oscillator -- 1.7 T-Exponentials, Trotter Formulas, and Path Integrals
|
| 505 |
8 |
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|a 2 Functions of Noncommuting Operators: the Construction and Main Properties2.1 Motivations -- 2.2 The Definition and the Uniqueness Theorem -- 2.3 Basic Properties -- 2.4 Tempered Symbols and Generators of Tempered Groups -- 2.5 The Influence of the Symbol Classes on the Properties of Generators -- 2.6 Weyl Quantization -- 3 Noncommutative Differential Calculus -- 3.1 The Derivation Formula -- 3.2 The Daletskii-Krein Formula -- 3.3 Higher-Order Expansions -- 3.4 Permutation of Feynman Indices -- 3.5 The Composite Function Formula
|
| 505 |
8 |
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|a 4 The Campbell-Hausdorff Theorem and Dynkin�s Formula4.1 Statement of the Problem -- 4.2 The Commutation Operation -- 4.3 A Closed Formula for In (eBeA) -- 4.4 A Closed Formula for the Logarithm of a T-Exponential -- 5 Summary: Rules of “Operator Arithmetic� and Some Standard Techniques -- 5.1 Notation -- 5.2 Rules -- 5.3 Standard Techniques -- II Method of Ordered Representation -- 1 Ordered Representation: Definition and Main Property -- 1.1 Wick Normal Form -- 1.2 Ordered Representation and Theorem on Products -- 1.3 Reduction to Normal Form
|
| 505 |
8 |
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|a 2 Some Examples2.1 Functions of the Operators x and â€? ihÓ?/dÓ? -- 2.2 Perturbed Heisenberg Relations -- 2.3 Examples of Nonlinear Commutation Relations -- 2.4 Lie Commutation Relations -- 2.5 Graded Lie Algebras -- 3 Evaluation of the Ordered Representation Operators -- 3.1 Equations for the Ordered Representation Operators -- 3.2 How to Obtain the Solution -- 3.3 Semilinear Commutation Relations -- 4 The Jacobi Condition and Poincaré-Birkhoff-Witt Theorem -- 4.1 Ordered Representation of Relation Systems and the Jacobi Condition
|
| 505 |
8 |
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|a 4.2 The Poincaré-Birkhoff-Witt Theorem4.3 Verification of the Jacobi Condition: Two Examples -- 5 The Ordered Representations, Jacobi Condition, and the Yang-Baxter Equation -- 6 Representations of Lie Groups and Functions of Their Generators -- 6.1 Conditions on the Representation -- 6.2 Hilbert Scales -- 6.3 Symbol Spaces -- 6.4 Symbol Classes: More Suitable for Asymptotic Problems -- III Noncommutative Analysis and Differential Equations -- 1 Preliminaries -- 1.1 Heaviside�s Operator Method for Differential Equations with Constant Coefficients
|
| 546 |
|
|
|a English.
|
| 500 |
|
|
|a EBSCO eBook Academic Comprehensive Collection North America
|5 TMurS
|
| 650 |
|
0 |
|a Geometry, Differential.
|
| 650 |
|
0 |
|a Noncommutative algebras.
|
| 650 |
|
0 |
|a Mathematical physics.
|
| 700 |
1 |
|
|a Shatalov, V. E.
|q (Viktor Evgenʹevich)
|1 https://id.oclc.org/worldcat/entity/E39PCjBPtQc6r49wJFrDtFHmcX
|
| 700 |
1 |
|
|a Sternin, B. I︠U︡.
|
| 730 |
0 |
|
|a WORLDSHARE SUB RECORDS
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| 758 |
|
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|i has work:
|a Methods of Noncommutative Analysis (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFPM9mm8YcKVgtCqqPtk6q
|4 https://id.oclc.org/worldcat/ontology/hasWork
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|i Print version:
|z 9781306275262
|
| 830 |
|
0 |
|a De Gruyter studies in mathematics ;
|v 22.
|
| 856 |
4 |
0 |
|u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=560593&authtype=ip,sso&custid=s4672406
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|a Middle Tennessee State University
|b Main
|c James E. Walker Library
|d Electronic Resources
|t 0
|e QC20.7.G44 N39 1995eb
|h Library of Congress classification
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