國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Hyperspherical harmonics expansion t...

Das, Tapan Kumar.

Hyperspherical harmonics expansion techniquesapplication to problems in physics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Hyperspherical harmonics expansion techniquesby Tapan Kumar Das.
其他題名:	application to problems in physics /
作者:	Das, Tapan Kumar.
出版者:	New Delhi :Springer India :2016.
面頁冊數:	xi, 159 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Spherical harmonics.
電子資源:	http://dx.doi.org/10.1007/978-81-322-2361-0
ISBN:	9788132223610$q(electronic bk.)

Hyperspherical harmonics expansion techniquesapplication to problems in physics /
Das, Tapan Kumar.

Hyperspherical harmonics expansion techniquesapplication to problems in physics /[electronic resource] :by Tapan Kumar Das. - New Delhi :Springer India :2016. - xi, 159 p. :ill., digital ;24 cm. - Theoretical and mathematical physics,1864-5879. - Theoretical and mathematical physics..

Introduction -- 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.

The book provides a generalized theoretical technique for solving the fewbody Schrodinger 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.

ISBN: 9788132223610$q(electronic bk.)

Standard No.: 10.1007/978-81-322-2361-0doiSubjects--Topical Terms:

560636
Spherical harmonics.

LC Class. No.: QC20.7.S645

Dewey Class. No.: 515.785

Hyperspherical harmonics expansion techniquesapplication to problems in physics /
LDR:02816nmm a2200325 a 4500 001 482020
003 DE-He213
005 20160802093344.0
006 m d
007 cr nn 008maaau
008 161007s2016 ii s 0 eng d
020 $a 9788132223610$q(electronic bk.)
020 $a 9788132223603$q(paper)
024 7 $a 10.1007/978-81-322-2361-0 $2 doi
035 $a 978-81-322-2361-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20.7.S645
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
082 0 4 $a 515.785 $2 23
090 $a QC20.7.S645 $b D229 2016
100 1 $a Das, Tapan Kumar. $3 738432
245 1 0 $a Hyperspherical harmonics expansion techniques $h [electronic resource] : $b application to problems in physics / $c by Tapan Kumar Das.
260 $a New Delhi : $b Springer India : $b Imprint: Springer, $c 2016.
300 $a xi, 159 p. : $b ill., digital ; $c 24 cm.
490 1 $a Theoretical and mathematical physics, $x 1864-5879
505 0 $a Introduction -- 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.
520 $a The book provides a generalized theoretical technique for solving the fewbody Schrodinger 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.
650 0 $a Spherical harmonics. $3 560636
650 0 $a Schrodinger equation. $3 251577
650 0 $a Quantum theory. $3 199020
650 1 4 $a Physics. $3 179414
650 2 4 $a Numerical and Computational Physics. $3 384722
650 2 4 $a Nuclear Physics, Heavy Ions, Hadrons. $3 274995
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Mathematical Physics. $3 522725
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Theoretical and mathematical physics. $3 558366
856 4 0 $u http://dx.doi.org/10.1007/978-81-322-2361-0
950 $a Physics and Astronomy (Springer-11651)