LEADER 03544nam 22006495 450 001 9910983480603321 005 20250626163454.0 010 $a9783031813931 010 $a3031813936 024 7 $a10.1007/978-3-031-81393-1 035 $a(CKB)37407212000041 035 $a(DE-He213)978-3-031-81393-1 035 $a(MiAaPQ)EBC31897067 035 $a(Au-PeEL)EBL31897067 035 $a(OCoLC)1492710074 035 $a(EXLCZ)9937407212000041 100 $a20250130d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Introduction to Lieb's Simplified Approach to the Bose Gas /$fby Ian Jauslin 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (XI, 104 p. 5 illus., 4 illus. in color.) 225 1 $aSpringerBriefs in Physics,$x2191-5431 311 08$a9783031813924 311 08$a3031813928 327 $aIntroduction -- Bose Einstein condensation -- Knowns and unknowns of the interacting Bose gas -- Definition of the Simplified approach -- Existence and uniqueness of solutions of the Simple Equation -- Predictions of the Simple Equation -- Numerical computation of the solution to the Big and Medium equations -- Open problems. 330 $aThis book explores Lieb's Simplified approach to the ground state of systems of interacting bosons. While extensive research has delved into the behavior of interacting bosons, persistent challenges, such as proving Bose-Einstein condensation, remain. Introduced by Lieb in 1963, the Simplified approach has been the object of renewed attention in recent years, revealing surprising and promising results. Notably, this approach provides ground state energy predictions that agree with many-body systems asymptotically at both low and high densities. It further predicts a condensate fraction and correlation function that agree with Bogolyubov theory at low densities, and numerical predictions match quantum Monte Carlo simulations across all densities. This suggests that Lieb's Simplified approach could serve as a potent tool for reimagining the study of interacting bosons. The book defines Lieb's Simplified approach, discusses its predictions, and presents known analytical and numerical results. It is designed for advanced students and young researchers working in the fields of mathematical physics, quantum many-body physics and Bose-Einstein condensates. 410 0$aSpringerBriefs in Physics,$x2191-5431 606 $aBose-Einstein condensation 606 $aMathematical physics 606 $aStatistical physics 606 $aDifferential equations 606 $aBose-Einstein Condensate 606 $aMathematical Physics 606 $aStatistical Physics 606 $aDifferential Equations 615 0$aBose-Einstein condensation. 615 0$aMathematical physics. 615 0$aStatistical physics. 615 0$aDifferential equations. 615 14$aBose-Einstein Condensate. 615 24$aMathematical Physics. 615 24$aStatistical Physics. 615 24$aDifferential Equations. 676 $a530.12 700 $aJauslin$b Ian$4aut$4http://id.loc.gov/vocabulary/relators/aut$01785330 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910983480603321 996 $aAn Introduction to Lieb's Simplified Approach to the Bose Gas$94316893 997 $aUNINA