The Vector Coherent State Method and Its Application to Problems of Higher Symmetries
Publisher: Springer
Published: December 1988
Language: eng
Format: Hardcover
Number of pages: 154
ISBN-13: 9780387185378
Subjects: Physics; Waves & Wave Mechanics; Mathematical Physics; Theoretical Physics; Science; Coherent states; Mathematics; Symmetry (Physics); Vector algebra; Science/Mathematics
Description: These lectures review the recently developed vector coherent state method. The book is an excellent introduction to the field because of the many examples treated in detail, in particular those from nuclear and particle physics. These calculations will be welcomed by researchers and graduate students. The author reviews the concepts of coherent states of the Heisenberg algebra and shows then that the vector coherent state method maps the higher symmetry algebra into an n-dimensional harmonic oscillator algebra coupled with a simple intrinsic symmetry algebra. The formulation involves some vector (or analogous higher symmetry) coupling of the intrinsic algebra with the n-dimensional oscillator algebra, leading to matrix representations and Wigner coefficients of the higher symmetry algebra expressed in terms of simple calculable functions and recoupling coefficients for the simpler intrinsic algebra.
Notes: Lecture Notes in Physics