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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Herschbach, D.R |
Dimensional Scaling in Chemical Physics |
I03801 |
1993 |
eBook |
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| 2 |
Avery, John S |
Hyperspherical Harmonics |
I03066 |
1989 |
eBook |
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1.
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| Title | Dimensional Scaling in Chemical Physics |
| Author(s) | Herschbach, D.R;Avery, John S;Goscinski, O |
| Publication | Dordrecht, Springer Netherlands, 1993. |
| Description | IV, 510 p : online resource |
| Abstract Note | Dimensional scaling offers a new approach to quantum dynamical correlations. This is the first book dealing with dimensional scaling methods in the quantum theory of atoms and molecules. Appropriately, it is a multiauthor production, derived chiefly from papers presented at a workshop held in June 1991 at the ??rsted Institute in Copenhagen. Although focused on dimensional scaling, the volume includes contributions on other unorthodox methods for treating nonseparable dynamical problems and electronic correlation. In shaping the book, the editors serve three needs: an introductory tutorial for this still fledgling field; a guide to the literature; and an inventory of current research results and prospects. Part I treats basic aspects of dimensional scaling. Addressed to readers entirely unfamiliar with the subject, it provides both a qualitative overview, and a tour of elementary quantum mechanics. Part II surveys the research frontier. The eight chapters exemplify current techniques and outline results. Part III presents other methods, including nonseparable dynamics, and electron correlation in pseudomolecular excited states of atoms. Although procrustean conformity was not imposed, unifying and complementary themes are emphasized throughout the book |
| ISBN,Price | 9789401118361 |
| Keyword(s) | 1. Applied and Technical Physics
2. Atomic, Molecular, Optical and Plasma Physics
3. ATOMS
4. EBOOK
5. EBOOK - SPRINGER
6. PHYSICAL CHEMISTRY
7. PHYSICS
8. QUANTUM PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I03801 |
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On Shelf |
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2.
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| Title | Hyperspherical Harmonics : Applications in Quantum Theory |
| Author(s) | Avery, John S |
| Publication | Dordrecht, Springer Netherlands, 1989. |
| Description | XVI, 256 p : online resource |
| Abstract Note | 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 |
| ISBN,Price | 9789400923232 |
| Keyword(s) | 1. Atomic, Molecular, Optical and Plasma Physics
2. ATOMS
3. EBOOK
4. EBOOK - SPRINGER
5. PHYSICAL CHEMISTRY
6. PHYSICS
7. QUANTUM PHYSICS
8. SPECIAL FUNCTIONS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I03066 |
|
|
On Shelf |
|
|
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