World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

Journal of Mathematical Physics : The O(1)-Kepler problems

By Guowu Meng

Click here to view

Book Id: WPLBN0002169541
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 21 October 2008

Title: Journal of Mathematical Physics : The O(1)-Kepler problems  
Author: Guowu Meng
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection, Journal of Mathematical Physics Collection
Publication Date:
Publisher: American Institute of Physics


APA MLA Chicago

Meng, G. (n.d.). Journal of Mathematical Physics : The O(1)-Kepler problems. Retrieved from

Description: Let n ≥ 2 be an integer. To each irreducible representation σ of O(1), an O(1)-Kepler problem in dimension n is constructed and analyzed. This system is super integrable and when n = 2 it is equivalent to a generalized MICZ (McIntosh-Cisneros-Zwanziger)-Kepler problem in dimension 2. The dynamical symmetry group of this system is (2n,) with the Hilbert space of bound states H(σ) being the unitary highest weight representation of (2n,) with highest weight which occurs at the rightmost nontrivial reduction point in the Enright–Howe–Wallach classification diagram for the unitary highest weight modules. (Here |σ| = 0 or 1 depending on whether σ is trivial or not.) Furthermore, it is shown that the correspondence σ↔H(σ) is the theta correspondence for dual pair (O(1),Sp(2n,))⊆Sp(2n,).


Click To View

Additional Books

  • Applied Physics Letters : Multilayered s... Volume Issue : December 2008 (by )
  • Physics of Fluids : A better nondimensio... Volume Issue : September 2008 (by )
  • Review of Scientific Instruments : A sca... Volume Issue : December 2008 (by )
  • Journal of Applied Physics : Magnetic or... Volume Issue : November 2008 (by )
  • Biblioteca Hispanica : Picturesque Natur... (by )
  • Journal of Applied Physics : Luminescenc... Volume Issue : November 2008 (by )
  • Applied Physics Letters : Phase-specific... Volume Issue : December 2008 (by )
  • The Journal of Chemical Physics : Equili... Volume Issue : November 2008 (by )
  • Biblioteca Hispanica : Natural History E... (by )
  • The Journal of Chemical Physics : On the... Volume Issue : November 2008 (by )
  • Physics of Plasmas : Simulation of quasi... Volume Issue : November 2008 (by )
  • The Journal of Chemical Physics : Pertur... Volume Issue : November 2008 (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from World Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.