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  • 1
    Book
    Book
    Amsterdam :North-Holland Publishing Comp.,
    UID:
    almafu_BV001929595
    Format: X, 310 S. : , graph. Darst.
    Series Statement: Series in physics.
    Language: English
    Subjects: Physics
    RVK:
    Keywords: Relativistische Quantenmechanik
    Author information: Strocchi, Franco 1939-
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  • 2
    Book
    Book
    Berlin : Springer
    UID:
    kobvindex_ZLB34668859
    Format: xiii, 286 Seiten , 23.5 cm x 15.5 cm, 617 g
    Edition: Third edition
    ISBN: 9783662621646 , 3662621649
    Series Statement: Theoretical and Mathematical Physics
    Language: English
    Keywords: Symmetriebrechung
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  • 3
    UID:
    gbv_495018198
    Format: X, 146 S. , graph. Darst.
    ISBN: 9812564314
    Series Statement: Advanced series in mathematical physics 27
    Note: Literaturangaben
    Language: English
    Subjects: Physics , Mathematics
    RVK:
    RVK:
    Keywords: Mathematische Physik ; Quantenmechanik
    Author information: Strocchi, Franco 1939-
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  • 4
    UID:
    gbv_738065412
    Format: XI, 257 Seiten
    Edition: 1. edition
    ISBN: 9780199671571
    Series Statement: International series of monographs on physics 158
    Note: Literaturverzeichnis: Seite [245] - 253
    Language: English
    Subjects: Physics
    RVK:
    RVK:
    Keywords: Quantenfeldtheorie
    Author information: Strocchi, Franco 1939-
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  • 5
    UID:
    b3kat_BV021280800
    Format: X, 146 S.
    ISBN: 9812564314
    Series Statement: Advanced series in mathematical physics 27
    Language: English
    Subjects: Physics , Mathematics
    RVK:
    RVK:
    Keywords: Quantenmechanik ; Mathematische Physik
    Author information: Strocchi, Franco 1939-
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  • 6
    Online Resource
    Online Resource
    Berlin, Germany : Springer
    UID:
    gbv_1746365218
    Format: 1 Online-Ressource (xiii, 286 Seiten)
    Edition: Third edition
    ISBN: 9783662621660
    Series Statement: Theoretical and Mathematical Physics
    Content: Part I Symmetry Breaking in Classical Systems -- Part II Symmetry Breaking in Quantum Systems -- Index.
    Content: The third edition of the by now classic reference on rigorous analysis of symmetry breaking in both classical and quantum field theories adds new topics of relevance, in particular the effect of dynamical Coulomb delocalization, by which boundary conditions give rise to volume effects and to energy/mass gap in the Goldstone spectrum (plasmon spectrum, Anderson superconductivity, Higgs phenomenon). The book closes with a discussion of the physical meaning of global and local gauge symmetries and their breaking, with attention to the effect of gauge group topology in QCD. From the reviews of the first edition: It is remarkable to see how much material can actually be presented in a rigorous way (incidentally, many of the results presented are due to Strocchi himself), yet this is largely ignored, the original heuristic derivations being, as a rule, more popular. - At each step he strongly emphasizes the physical meaning and motivation of the various notions introduced [...] a book that fills a conspicuous gap in the literature, and does it rather well. It could also be a good basis for a graduate course in mathematical physics. J.-P. Antoine, Physicalia 28/2, 2006 Despite many accounts in popular textbooks and a widespread belief, the phenomenon is rather subtle, requires an infinite set of degrees of freedom and an advanced mathematical setting of the system under investigation. [...] The mathematically oriented graduate student will certainly benefit from this thorough, rigorous and detailed investigation. G. Roepstorff, Zentralblatt MATH, Vol. 1075, 2006 From the reviews of the second edition: This second edition of Strocchi’s Symmetry Breaking presents a complete, generalized and highly rigorous discussion of the subject, based on a formal analysis of conditions necessary for the mechanism of spontaneous symmetry breaking to occur in classical systems, as well as in quantum systems. […] This book is specifically recommended for mathematical physicists interested in a deeper and rigorous understanding of the subject, and it should be mandatory for researchers studying the mechanism of spontaneous symmetry breaking. S. Hajjawi, Mathematical Reviews, 2008.
    Additional Edition: ISBN 9783662621646
    Additional Edition: ISBN 9783662621653
    Additional Edition: Erscheint auch als Druck-Ausgabe Strocchi, Franco, 1939 - Symmetry breaking Berlin : Springer, 2021 ISBN 9783662621646
    Additional Edition: ISBN 3662621649
    Language: English
    Subjects: Physics
    RVK:
    Keywords: Symmetriebrechung
    Author information: Strocchi, Franco 1939-
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  • 7
    Online Resource
    Online Resource
    Cham : Springer
    UID:
    gbv_1654939730
    Format: Online-Ressource (XI, 114 p, online resource)
    ISBN: 9783319737614
    Series Statement: UNITEXT for Physics
    Content: Preface -- 1 Difficulties of Cartesian Newtonian Mechanics -- 1.1 Constraint forces -- 1.2 Non-inertial frames and fictitious forces -- 2 Lagrange equations -- 2.1 Degrees of freedom and Lagrangian coordinates -- 2.2 Lagrangian form of Newton's equations -- 2.3 Lagrange equations -- 2.4 Lagrange equations at work. Examples -- 2.5 Generalized potential -- 2.6 Larmor theorem -- 2.7 Physical meaning of Lagrange equations; conjugate momenta -- 2.8 Cyclic variables, symmetries and conserved conjugate momenta -- 2.9 Non-uniqueness of the Lagrangian -- 3 Hamilton equations -- 3.1 Energy conservation -- 3.2 Hamilton equations -- 3.3 Coordinate transformations and Hamilton equations -- 3.4 Canonical transformations -- 4 Poisson brackets and canonical structure -- 4.1 Constants of motion identified by -- Poisson brackets -- 4.2 General properties of Poisson brackets -- 4.3 Canonical structure -- 4.4 Invariance of Poisson brackets under canonical transformations -- 5 Generation of canonical transformations -- 5.1 Alternative characterization of canonical transformations -- 5.2 Extended canonical transformations -- 5.3 Generators of continuous groups of canonical transformations -- 5.4 Symmetries and conservation laws. Noether theorem -- 6 Small oscillations -- 6.1 Equilibrium configurations. Stability -- 6.2 Small oscillations -- 7 The common Poisson algebra of classical and quantum mechanics -- 7.1 Dirac Poisson algebra -- 7.2 A common Poisson algebra of classical and quantum mechanics -- Index.
    Content: This book presents the basic elements of Analytical Mechanics, starting from the physical motivations that favor it with respect to the Newtonian Mechanics in Cartesian coordinates. Rather than presenting Analytical Mechanics mainly as a formal development of Newtonian Mechanics, it highlights its effectiveness due to the following five important achievements: 1) the most economical description of time evolution in terms of the minimal set of coordinates, so that there are no constraint forces in their evolution equations; 2) the form invariance of the evolution equations, which automatically solves the problem of fictitious forces; 3) only one scalar function encodes the formulation of the dynamics, rather than the full set of vectors which describe the forces in Cartesian Newtonian Mechanics; 4) in the Hamiltonian formulation, the corresponding evolution equations are of first order in time and are fully governed by the Hamiltonian function (usually corresponding to the energy); 5) the emergence of the Hamiltonian canonical algebra and its effectiveness in simplifying the control of the dynamical problem (e.g. the constant of motions identified by the Poisson brackets with the Hamiltonian, the relation between symmetries and conservations laws, the use of canonical transformations to reduce the Hamiltonian to a simpler form etc.). The book also addresses a number of points usually not included in textbook presentations of Analytical Mechanics, such as 1) the characterization of the cases in which the Hamiltonian differs from the energy, 2) the characterization of the non-uniqueness of the Lagrangian and of the Hamiltonian and its relation to a “gauge” transformation, 3) the Hamiltonian formulation of the Noether theorem, with the possibility that the constant of motion corresponding to a continuous symmetry of the dynamics is not the canonical generator of the symmetry transformation but also involves the generator of a gauge transformation. In turn, the book’s closing chapter is devoted to explaining the extraordinary analogy between the canonical structure of Classical and Quantum Mechanics. By correcting the Dirac proposal for such an explanation, it demonstrates that there is a common Poisson algebra shared by Classical and Quantum Mechanics, the differences between the two theories being reducible to the value of the central variable of that algebra.
    Additional Edition: ISBN 9783319737607
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-73760-7
    Language: English
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    Author information: Strocchi, Franco 1939-
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  • 8
    Online Resource
    Online Resource
    Cham :Springer,
    UID:
    edoccha_BV044888498
    Format: 1 Online-Ressource (XI, 114 p).
    ISBN: 978-3-319-73761-4
    Series Statement: UNITEXT for Physics
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-73760-7
    Language: English
    Keywords: Theoretische Mechanik
    URL: Volltext  (URL des Erstveröffentlichers)
    Author information: Strocchi, Franco 1939-
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  • 9
    Online Resource
    Online Resource
    Cham :Springer,
    UID:
    edocfu_BV044888498
    Format: 1 Online-Ressource (XI, 114 p).
    ISBN: 978-3-319-73761-4
    Series Statement: UNITEXT for Physics
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-73760-7
    Language: English
    Keywords: Theoretische Mechanik
    URL: Volltext  (URL des Erstveröffentlichers)
    Author information: Strocchi, Franco 1939-
    Library Location Call Number Volume/Issue/Year Availability
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