LEADER 04409nam 22007095 450 001 9910736976203321 005 20200629120241.0 010 $a81-322-2361-6 024 7 $a10.1007/978-81-322-2361-0 035 $a(CKB)3710000000521750 035 $a(EBL)4179415 035 $a(SSID)ssj0001585190 035 $a(PQKBManifestationID)16264722 035 $a(PQKBTitleCode)TC0001585190 035 $a(PQKBWorkID)14865551 035 $a(PQKB)10652064 035 $a(DE-He213)978-81-322-2361-0 035 $a(MiAaPQ)EBC4179415 035 $a(PPN)190532963 035 $a(EXLCZ)993710000000521750 100 $a20151126d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHyperspherical Harmonics Expansion Techniques$b[electronic resource] $eApplication to Problems in Physics /$fby Tapan Kumar Das 205 $a1st ed. 2016. 210 1$aNew Delhi :$cSpringer India :$cImprint: Springer,$d2016. 215 $a1 online resource (170 p.) 225 1 $aTheoretical and Mathematical Physics,$x1864-5879 300 $aDescription based upon print version of record. 311 $a81-322-2360-8 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Systems of One or More Particles -- Three-body System -- General Many-body Systems.- The Trinucleon System -- Application to Coulomb Systems -- Potential Harmonics -- Application to Bose-Einstein Condensates -- Integro-differential Equation -- Computational Techniques. 330 $aThe book provides a generalized theoretical technique for solving the fewbody Schrödinger equation. Straight forward approaches to solve it in terms of position vectors of constituent particles and using standard mathematical techniques become too cumbersome and inconvenient when the system contains more than two particles. The introduction of Jacobi vectors, hyperspherical variables and hyperspherical harmonics as an expansion basis is an elegant way to tackle systematically the problem of an increasing number of interacting particles. Analytic expressions for hyperspherical harmonics, appropriate symmetrisation of the wave function under exchange of identical particles and calculation of matrix elements of the interaction have been presented. Applications of this technique to various problems of physics have been discussed. In spite of straight forward generalization of the mathematical tools for increasing number of particles, the method becomes computationally difficult for more than a few particles. Hence various approximation methods have also been discussed. Chapters on the potential harmonics and its application to Bose-Einstein condensates (BEC) have been included to tackle dilute system of a large number of particles. A chapter on special numerical algorithms has also been provided. This monograph is a reference material for theoretical research in the few-body problems for research workers starting from advanced graduate level students to senior scientists. 410 0$aTheoretical and Mathematical Physics,$x1864-5879 606 $aPhysics 606 $aNuclear physics 606 $aHeavy ions 606 $aMathematical physics 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aNuclear Physics, Heavy Ions, Hadrons$3https://scigraph.springernature.com/ontologies/product-market-codes/P23010 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aPhysics. 615 0$aNuclear physics. 615 0$aHeavy ions. 615 0$aMathematical physics. 615 14$aNumerical and Computational Physics, Simulation. 615 24$aNuclear Physics, Heavy Ions, Hadrons. 615 24$aMathematical Methods in Physics. 615 24$aMathematical Physics. 676 $a530.150285 700 $aDas$b Tapan Kumar$4aut$4http://id.loc.gov/vocabulary/relators/aut$01373626 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910736976203321 996 $aHyperspherical Harmonics Expansion Techniques$93424696 997 $aUNINA