Author: Rafael Guardiola
Publisher: Springer Science & Business Media
ISBN: 370919427X
Category : Science
Languages : en
Pages : 555
Book Description
Proceedings of the XVth European Conference on Few-Body Problems in Physics, Peniscola (Castellon), Spain, June, 5 - 9, 1995
Few-Body Problems in Physics ’95
Author: Rafael Guardiola
Publisher: Springer Science & Business Media
ISBN: 370919427X
Category : Science
Languages : en
Pages : 555
Book Description
Proceedings of the XVth European Conference on Few-Body Problems in Physics, Peniscola (Castellon), Spain, June, 5 - 9, 1995
Publisher: Springer Science & Business Media
ISBN: 370919427X
Category : Science
Languages : en
Pages : 555
Book Description
Proceedings of the XVth European Conference on Few-Body Problems in Physics, Peniscola (Castellon), Spain, June, 5 - 9, 1995
Few-Body Problems in Physics ’02
Author: Rajmund Krivec
Publisher: Springer Science & Business Media
ISBN: 3709167280
Category : Science
Languages : en
Pages : 445
Book Description
In this Supplement we have collected the invited and contributed talks pre sented at the XVIII European Conference on Few-Body Problems in Physics, organised by the Jozef Stefan Institute and the University of Ljubljana, Slove nia. The Conference, sponsored by the European Physical Society, took place at the lakeside resort of Bled from 8 to 14 September, 2002. This meeting was a part of the series of European Few-Body Conferences, previously held in Evora/Portugal (2000), Autrans/France (1998), Peniscola/Spain (1995), ... Our aim was to emphasise, to a larger extent than at previous Conferences, the interdisciplinarity of research fields of the Few-Body community. To pro mote a richer exchange of ideas, we therefore strived to avoid parallel sessions as much as possible. On the other hand, to promote the participation of young scientists who we feel will eventually shape the future of Few-Body Physics, we wished to give almost all attendees the opportunity to speak.
Publisher: Springer Science & Business Media
ISBN: 3709167280
Category : Science
Languages : en
Pages : 445
Book Description
In this Supplement we have collected the invited and contributed talks pre sented at the XVIII European Conference on Few-Body Problems in Physics, organised by the Jozef Stefan Institute and the University of Ljubljana, Slove nia. The Conference, sponsored by the European Physical Society, took place at the lakeside resort of Bled from 8 to 14 September, 2002. This meeting was a part of the series of European Few-Body Conferences, previously held in Evora/Portugal (2000), Autrans/France (1998), Peniscola/Spain (1995), ... Our aim was to emphasise, to a larger extent than at previous Conferences, the interdisciplinarity of research fields of the Few-Body community. To pro mote a richer exchange of ideas, we therefore strived to avoid parallel sessions as much as possible. On the other hand, to promote the participation of young scientists who we feel will eventually shape the future of Few-Body Physics, we wished to give almost all attendees the opportunity to speak.
Few-Body Problems in Physics ’95
Author: Paul Oskar Urban
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 564
Book Description
Proceedings of the XVth European Conference on Few-Body Problems in Physics, Peniscola (Castellon), Spain, June, 5 - 9, 1995
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 564
Book Description
Proceedings of the XVth European Conference on Few-Body Problems in Physics, Peniscola (Castellon), Spain, June, 5 - 9, 1995
Polymers and Liquid Crystals
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Hyperspherical Harmonics
Author: John S. Avery
Publisher: Springer Science & Business Media
ISBN: 9400923236
Category : Science
Languages : en
Pages : 265
Book Description
where d 3 3)2 ( L x - -- i3x j3x j i i>j Thus the Gegenbauer polynomials play a role in the theory of hyper spherical harmonics which is analogous to the role played by Legendre polynomials in the familiar theory of 3-dimensional spherical harmonics; and when d = 3, the Gegenbauer polynomials reduce to Legendre polynomials. The familiar sum rule, in 'lrlhich a sum of spherical harmonics is expressed as a Legendre polynomial, also has a d-dimensional generalization, in which a sum of hyper spherical harmonics is expressed as a Gegenbauer polynomial (equation (3-27»: The hyper spherical harmonics which appear in this sum rule are eigenfunctions of the generalized angular monentum 2 operator A , chosen in such a way as to fulfil the orthonormality relation: VIe are all familiar with the fact that a plane wave can be expanded in terms of spherical Bessel functions and either Legendre polynomials or spherical harmonics in a 3-dimensional space. Similarly, one finds that a d-dimensional plane wave can be expanded in terms of HYPERSPHERICAL HARMONICS xii "hyperspherical Bessel functions" and either Gegenbauer polynomials or else hyperspherical harmonics (equations ( 4 - 27) and ( 4 - 30) ) : 00 ik·x e = (d-4)!!A~oiA(d+2A-2)j~(kr)C~(~k'~) 00 (d-2)!!I(0) 2: iAj~(kr) 2:Y~ (["2k)Y (["2) A A=O ). l). l)J where I(O) is the total solid angle. This expansion of a d-dimensional plane wave is useful when we wish to calculate Fourier transforms in a d-dimensional space.
Publisher: Springer Science & Business Media
ISBN: 9400923236
Category : Science
Languages : en
Pages : 265
Book Description
where d 3 3)2 ( L x - -- i3x j3x j i i>j Thus the Gegenbauer polynomials play a role in the theory of hyper spherical harmonics which is analogous to the role played by Legendre polynomials in the familiar theory of 3-dimensional spherical harmonics; and when d = 3, the Gegenbauer polynomials reduce to Legendre polynomials. The familiar sum rule, in 'lrlhich a sum of spherical harmonics is expressed as a Legendre polynomial, also has a d-dimensional generalization, in which a sum of hyper spherical harmonics is expressed as a Gegenbauer polynomial (equation (3-27»: The hyper spherical harmonics which appear in this sum rule are eigenfunctions of the generalized angular monentum 2 operator A , chosen in such a way as to fulfil the orthonormality relation: VIe are all familiar with the fact that a plane wave can be expanded in terms of spherical Bessel functions and either Legendre polynomials or spherical harmonics in a 3-dimensional space. Similarly, one finds that a d-dimensional plane wave can be expanded in terms of HYPERSPHERICAL HARMONICS xii "hyperspherical Bessel functions" and either Gegenbauer polynomials or else hyperspherical harmonics (equations ( 4 - 27) and ( 4 - 30) ) : 00 ik·x e = (d-4)!!A~oiA(d+2A-2)j~(kr)C~(~k'~) 00 (d-2)!!I(0) 2: iAj~(kr) 2:Y~ (["2k)Y (["2) A A=O ). l). l)J where I(O) is the total solid angle. This expansion of a d-dimensional plane wave is useful when we wish to calculate Fourier transforms in a d-dimensional space.