Spectrum generating algebra for the continuous spectrum of a free particle in Lobachevski space
نویسندگان
چکیده
منابع مشابه
SPECTRUM OF THE FOURIER-STIELTJES ALGEBRA OF A SEMIGROUP
For a unital foundation topological *-semigroup S whose representations separate points of S, we show that the spectrum of the Fourier-Stieltjes algebra B(S) is a compact semitopological semigroup. We also calculate B(S) for several examples of S.
متن کاملSpectrum generating algebra of the symmetric top
The study of few-body problems has played an important role in many areas of physics [1]. Over the years accurate methods have been developed to solve the few-body equations. The degree of sophistication required depends on the physical system, i.e. to solve the fewbody problem in atomic physics requires a far higher accuracy than in hadronic physics. In recent years the development and applica...
متن کاملDoubling of Excited Hadrons from a Simple Spectrum-Generating Algebra
We find remarkable agreement with the observed excitations of hadrons with a simple three parameter mass relation of the SU(3) subgroup of the underlying U(15/30) graded Lie group. The baryons are the appropriate supersymmetric partners of the mesons. An interesting feature, which is a focus of current interest, is that the baryons and isobars show parity doubling. Significantly, the ground sta...
متن کاملSpectrum and essential spectrum of linear combinations of composition operators on the Hardy space H2
Let -----. For an analytic self-map --- of --- , Let --- be the composition operator with composite map --- so that ----. Let --- be a bounded analytic function on --- . The weighted composition operator --- is defined by --- . Suppose that --- is the Hardy space, consisting of all analytic functions defined on --- , whose Maclaurin cofficients are square summable. .....
متن کاملRigged Hilbert Space Treatment of Continuous Spectrum
The ability of the Rigged Hilbert Space formalism to deal with continuous spectrum is demonstrated within the example of the square barrier potential. The non-square integrable solutions of the time-independent Schrödinger equation are used to define Dirac kets, which are (generalized) eigenvectors of the Hamiltonian. These Dirac kets are antilinear functionals over the space of physical wave f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2013
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4791683