LEADER 04567nam 22006855 450 001 9911061845603321 005 20260130134103.0 010 $a9783032089205 024 7 $a10.1007/978-3-032-08920-5 035 $a(CKB)45101359800041 035 $a(MiAaPQ)EBC32531045 035 $a(Au-PeEL)EBL32531045 035 $a(DE-He213)978-3-032-08920-5 035 $a(EXLCZ)9945101359800041 100 $a20260130d2026 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aConcepts in Quantum Many-Body Physics /$fby Giampaolo Co' 205 $a1st ed. 2026. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2026. 215 $a1 online resource (451 pages) 225 1 $aUNITEXT for Physics,$x2198-7890 311 08$a9783032089199 327 $aIntroducing the Many-body Problem -- Basic Information -- Mean-field -- Solutions Without Approximations -- Theories Inspired to Quantum Field Theories -- Occupation Number -- Perturbation Theory of Many-body Systems -- Goldstone Theorem -- Brueckner Theory -- Green?s Function -- Perturbative Description of the Green?s -- Theories Inspired to Statistical Mechanics -- Correlated Basis Function Theory -- Unitary Correlation Operator Method -- The Coupled Cluster Method -- Phenomenological Theories -- Effective Theories -- Mean-field Applications of the Variational Principle -- Excited States -- The Fermi Liquid Theory. 330 $aThis book compiles the notes from a course in many-body physics, presented for nearly 20 years to graduate students at the University of Salento held by the author. It is intended for students already familiar with basic non-relativistic quantum mechanics. Building on this foundation, the book explores the challenges that arise when traditional quantum mechanics approaches are applied to systems composed of many interacting particles, such as nuclei, electron gas, multi-electron atoms, complex molecules, and quantum liquids. The first part of the book introduces the quantum many-body problem and provides essential information. The second part describes the Monte Carlo approach which solves the problem without approximations and its technical limitations are emphasized. In the third part, the approaches inspired by quantum field theory are presented. The theoretical entities used here are creation and destruction operators, Green's functions, and propagators. The theories are focused on the modifications of the interaction between the particles when they interact in a medium. In the fourth part, various theories inspired by statistical mechanics are discussed, with an emphasis on the correlations between particles in the system. The fifth part covers phenomenological theories, where the interaction between particles is defined within the framework of the theory itself to describe certain properties of the many-body system. The aim of the book is to provide graduate students with a comprehensive overview of the fundamental ideas related to the theories used to address the quantum many-body problem. Since the text is intended for students rather than experts in the field, detailed calculations are presented, with a focus on the basic concepts underlying the various theories rather than on recent numerical advancements, which are continually evolving. 410 0$aUNITEXT for Physics,$x2198-7890 606 $aParticles (Nuclear physics) 606 $aQuantum field theory 606 $aNuclear physics 606 $aCondensed matter 606 $aQuantum computing 606 $aStatistical mechanics 606 $aElementary Particles, Quantum Field Theory 606 $aNuclear Physics 606 $aCondensed Matter Physics 606 $aQuantum Information 606 $aStatistical Mechanics 615 0$aParticles (Nuclear physics) 615 0$aQuantum field theory. 615 0$aNuclear physics. 615 0$aCondensed matter. 615 0$aQuantum computing. 615 0$aStatistical mechanics. 615 14$aElementary Particles, Quantum Field Theory. 615 24$aNuclear Physics. 615 24$aCondensed Matter Physics. 615 24$aQuantum Information. 615 24$aStatistical Mechanics. 676 $a530.14 700 $aCo'$b Giampaolo$01893090 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911061845603321 996 $aConcepts in Quantum Many-Body Physics$94540566 997 $aUNINA