{"product_id":"mathematics-of-quantization-and-quantum-fields-paperback-9781009290838","title":"Mathematics of Quantization and Quantum Fields (Paperback \/ softback) 9781009290838","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMathematics of Quantization and Quantum Fields\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis 2013 book, now OA, offers a definitive review of mathematical aspects of quantization and quantum field theory.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJan Derezi?ski (Author), Christian Gérard (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009290838, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 9 February 2023\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e688 pages\u003cbr\u003e24.4 x 17.1 x 3.5 cm, 1.18 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… offers much highly valuable material.' Stig Stenholm, Contemporary Physics\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eUnifying topics that are scattered throughout the literature, this book offers a definitive review of mathematical aspects of quantization and quantum field theory. It presents both basic and advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. It begins with a discussion of the mathematical structures underlying free bosonic or fermionic fields: tensors, algebras, Fock spaces, and CCR and CAR representations. Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in mathematics and physics. This title, first published in 2013, has been reissued as an Open Access publication on Cambridge Core.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Vector spaces\u003cbr\u003e 2. Operators in Hilbert spaces\u003cbr\u003e 3. Tensor algebras\u003cbr\u003e 4. Analysis in L2(Rd)\u003cbr\u003e 5. Measures\u003cbr\u003e 6. Algebras\u003cbr\u003e 7. Anti-symmetric calculus\u003cbr\u003e 8. Canonical commutation relations\u003cbr\u003e 9. CCR on Fock spaces\u003cbr\u003e 10. Symplectic invariance of CCR in finite dimensions\u003cbr\u003e 11. Symplectic invariance of the CCR on Fock spaces\u003cbr\u003e 12. Canonical anti-commutation relations\u003cbr\u003e 13. CAR on Fock spaces\u003cbr\u003e 14. Orthogonal invariance of CAR algebras\u003cbr\u003e 15. Clifford relations\u003cbr\u003e 16. Orthogonal invariance of the CAR on Fock spaces\u003cbr\u003e 17. Quasi-free states\u003cbr\u003e 18. Dynamics of quantum fields\u003cbr\u003e 19. Quantum fields on space-time\u003cbr\u003e 20. Diagrammatics\u003cbr\u003e 21. Euclidean approach for bosons\u003cbr\u003e 22. Interacting bosonic fields\u003cbr\u003e Subject index\u003cbr\u003e Symbols index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e], Mathematics \u0026amp; science [\u003ca title=\"See our other books on Mathematics \u0026amp; science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20\u0026amp;%20science%20%5BP%5D%22\"\u003eP\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001347690776,"sku":"9781009290838","price":40.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781009290838i.jpg?v=1696791786","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/mathematics-of-quantization-and-quantum-fields-paperback-9781009290838","provider":"Freshly Printed Books","version":"1.0","type":"link"}