Quantized partial differential equations /:
This book presents, for the first time, a systematic formulation ofthe geometric theory of noncommutative PDE's which is suitable enoughto be used for a mathematical description of quantum dynamics andquantum field theory. A geometric theory of supersymmetric quantumPDE's is also considere...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
River Edge, NJ :
World Scientific,
©2004.
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | This book presents, for the first time, a systematic formulation ofthe geometric theory of noncommutative PDE's which is suitable enoughto be used for a mathematical description of quantum dynamics andquantum field theory. A geometric theory of supersymmetric quantumPDE's is also considered, in order to describe quantumsupergravity. Covariant and canonical quantizations of (super) PDE'sare shown to be founded on the geometric theory of PDE's and toproduce quantum (super) PDE's by means of functors from the categoryof commutative (super) PDE's to the category of quantum (super)PDE's. Global pro. |
| Physical Description: | 1 online resource (xiii, 485 pages) |
| Bibliography: | Includes bibliographical references (pages 461-471) and index. |
| ISBN: | 9812562516 9789812562517 9789812387646 9812387641 1281872474 9781281872470 |
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| 520 | |a This book presents, for the first time, a systematic formulation ofthe geometric theory of noncommutative PDE's which is suitable enoughto be used for a mathematical description of quantum dynamics andquantum field theory. A geometric theory of supersymmetric quantumPDE's is also considered, in order to describe quantumsupergravity. Covariant and canonical quantizations of (super) PDE'sare shown to be founded on the geometric theory of PDE's and toproduce quantum (super) PDE's by means of functors from the categoryof commutative (super) PDE's to the category of quantum (super)PDE's. Global pro. | ||
| 505 | 0 | |a Quantized PDE's I: Noncommutative manifolds -- Quantized PDE's II: Noncommutative PDE's -- Quantized PDE's III: Quantizations of commutative PDE's -- Addendum I: Bordism groups and the (NS)-problem -- Addendum I: Bordism groups and variational PDE's. | |
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| contents | Quantized PDE's I: Noncommutative manifolds -- Quantized PDE's II: Noncommutative PDE's -- Quantized PDE's III: Quantizations of commutative PDE's -- Addendum I: Bordism groups and the (NS)-problem -- Addendum I: Bordism groups and variational PDE's. |
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| id | ZDB-4-EBA-ocn228114414 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-11T08:36:03Z |
| institution | BVB |
| isbn | 9812562516 9789812562517 9789812387646 9812387641 1281872474 9781281872470 |
| language | English |
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| spelling | Prastaro, Agostino. Quantized partial differential equations / A Prástaro. River Edge, NJ : World Scientific, ©2004. 1 online resource (xiii, 485 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references (pages 461-471) and index. Print version record. This book presents, for the first time, a systematic formulation ofthe geometric theory of noncommutative PDE's which is suitable enoughto be used for a mathematical description of quantum dynamics andquantum field theory. A geometric theory of supersymmetric quantumPDE's is also considered, in order to describe quantumsupergravity. Covariant and canonical quantizations of (super) PDE'sare shown to be founded on the geometric theory of PDE's and toproduce quantum (super) PDE's by means of functors from the categoryof commutative (super) PDE's to the category of quantum (super)PDE's. Global pro. Quantized PDE's I: Noncommutative manifolds -- Quantized PDE's II: Noncommutative PDE's -- Quantized PDE's III: Quantizations of commutative PDE's -- Addendum I: Bordism groups and the (NS)-problem -- Addendum I: Bordism groups and variational PDE's. Quantum groups. http://id.loc.gov/authorities/subjects/sh90005801 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Groupes quantiques. Théorie quantique des champs. SCIENCE Physics Mathematical & Computational. bisacsh Quantum field theory fast Quantum groups fast Print version: Prastaro, Agostino. Quantized partial differential equations. River Edge, NJ : World Scientific, ©2004 (DLC) 55964727 |
| spellingShingle | Prastaro, Agostino Quantized partial differential equations / Quantized PDE's I: Noncommutative manifolds -- Quantized PDE's II: Noncommutative PDE's -- Quantized PDE's III: Quantizations of commutative PDE's -- Addendum I: Bordism groups and the (NS)-problem -- Addendum I: Bordism groups and variational PDE's. Quantum groups. http://id.loc.gov/authorities/subjects/sh90005801 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Groupes quantiques. Théorie quantique des champs. SCIENCE Physics Mathematical & Computational. bisacsh Quantum field theory fast Quantum groups fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh90005801 http://id.loc.gov/authorities/subjects/sh85109461 |
| title | Quantized partial differential equations / |
| title_auth | Quantized partial differential equations / |
| title_exact_search | Quantized partial differential equations / |
| title_full | Quantized partial differential equations / A Prástaro. |
| title_fullStr | Quantized partial differential equations / A Prástaro. |
| title_full_unstemmed | Quantized partial differential equations / A Prástaro. |
| title_short | Quantized partial differential equations / |
| title_sort | quantized partial differential equations |
| topic | Quantum groups. http://id.loc.gov/authorities/subjects/sh90005801 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Groupes quantiques. Théorie quantique des champs. SCIENCE Physics Mathematical & Computational. bisacsh Quantum field theory fast Quantum groups fast |
| topic_facet | Quantum groups. Quantum field theory. Groupes quantiques. Théorie quantique des champs. SCIENCE Physics Mathematical & Computational. Quantum field theory Quantum groups |
| work_keys_str_mv | AT prastaroagostino quantizedpartialdifferentialequations |