scholarly journals Tridiagonal pairs of q -Racah type, the double lowering operator ψ , and the quantum algebraUq(sl2)

2014 ◽  
Vol 445 ◽  
pp. 256-279 ◽  
Author(s):  
Sarah Bockting-Conrad
Keyword(s):  
Tridiagonal Pairs ◽  
Lowering Operator

scholarly journals Tridiagonal pairs of type III with height one

2019 ◽  
Vol 35 (1) ◽  
pp. 555-582 ◽  
Author(s):  
Xue Li ◽  
Bo Hou ◽  
Suogang Gao
Keyword(s):  
Type Iii ◽  
Tridiagonal Pairs

PARASUPERSYMMETRIC COHERENT STATES FOR LANDAU LEVELS WITH DYNAMICAL SYMMETRY GROUP H4

2002 ◽  
Vol 17 (28) ◽  
pp. 4081-4093 ◽  
Author(s):  
H. FAKHRI ◽  
H. MOTAVALI
Keyword(s):  
Magnetic Field ◽  
Symmetry Group ◽  
Coherent States ◽  
Ad Hoc ◽  
Flat Surface ◽  
Arbitrary Order ◽  
Dynamical Symmetry ◽  
Quantum States ◽  
Landau Levels ◽  
Lowering Operator

The eigenstates and their degeneracy for parasupersymmetric Hamiltonian of arbitrary order p, corresponding to the motion of a charged particle with spin [Formula: see text] on the flat surface in the presence of a constant magnetic field along z-axis, are calculated. The eigenstates are expressed in terms of Landau levels quantum states with dynamical symmetry group H4. Furthermore, parasupersymmetric coherent states with multiplicity degeneracy are derived for an ad hoc lowering operator of the eigenstates in terms of ordinary coherent states of Landau Hamiltonian.

scholarly journals Linearization coefficients for Sheffer polynomial sets via lowering operators

2006 ◽  
Vol 2006 ◽  
pp. 1-15 ◽  
Author(s):  
Y. Ben Cheikh ◽  
H. Chaggara
Keyword(s):  
Linearization Coefficients ◽  
Lowering Operators ◽  
Sheffer Polynomial ◽  
Lowering Operator

The lowering operatorσassociated with a polynomial set{Pn}n≥0is an operator not depending onnand satisfying the relationσPn=nPn−1. In this paper, we express explicitly the linearization coefficients for polynomial sets of Sheffer type using the corresponding lowering operators. We obtain some well-known results as particular cases.

scholarly journals NEW DISCRETE STATES IN TWO-DIMENSIONAL SUPERGRAVITY

2007 ◽  
Vol 22 (07) ◽  
pp. 1375-1394 ◽  
Author(s):  
DIMITRI POLYAKOV
Keyword(s):  
Operator Algebra ◽  
Higher Dimensions ◽  
Two Dimensions ◽  
Field Theories ◽  
Two Dimensional ◽  
Discrete States ◽  
Structure Constants ◽  
Area Preserving ◽  
Volume Preserving ◽  
Lowering Operator

Two-dimensional string theory is known to contain the set of discrete states that are the SU (2) multiplets generated by the lowering operator of the SU (2) current algebra. Their structure constants are defined by the area preserving diffeomorphisms in two dimensions. In this paper we show that the interaction of d = 2 superstrings with the superconformal β - γ ghosts enlarges the actual algebra of the dimension 1 currents and hence the new ghost-dependent discrete states appear. Generally, these states are the SU (N) multiplets if the algebra includes the currents of ghost numbers n : -N ≤ n ≤ N - 2, not related by picture changing. We compute the structure constants of these ghost-dependent discrete states for N = 3 and express them in terms of SU (3) Clebsch–Gordan coefficients, relating this operator algebra to the volume preserving diffeomorphisms in d = 3. For general N, the operator algebra is conjectured to be isomorphic to SDiff (N). This points at possible holographic relations between two-dimensional superstrings and field theories in higher dimensions.

scholarly journals A classification of sharp tridiagonal pairs

2011 ◽  
Vol 435 (8) ◽  
pp. 1857-1884 ◽  
Author(s):  
Tatsuro Ito ◽  
Kazumasa Nomura ◽  
Paul Terwilliger
Keyword(s):  
Tridiagonal Pairs

scholarly journals Solution of The Schrödinger Equation for Trigonometric Scarf Plus Poschl-Teller Non-Central Potential Using Supersymmetry Quantum Mechanics

2016 ◽  
Vol 4 (01) ◽  
pp. 1 ◽  
Author(s):  
Cari C ◽  
Suparmi S ◽  
Antomi Saregar
Keyword(s):  
Ground State ◽  
Energy Eigenvalue ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
State Wave ◽  
Shape Invariant ◽  
Raising Operator ◽  
Invariant Properties ◽  
Lowering Operator ◽  
Exact Energy

<span>In this paper, we show that the exact energy eigenvalues and eigen functions of the Schrödinger <span>equation for charged particles moving in certain class of noncentral potentials can be easily <span>calculated analytically in a simple and elegant manner by using Supersymmetric method <span>(SUSYQM). We discuss the trigonometric Scarf plus Poschl-Teller systems. Then, by operating <span>the lowering operator we get the ground state wave function, and the excited state wave functions <span>are obtained by operating raising operator repeatedly. The energy eigenvalue is expressed in the <span>closed form obtained using the shape invariant properties. The results are in exact agreement with <span>other methods.</span></span></span></span></span></span></span><br /></span>

scholarly journals Tridiagonal pairs and the μ-conjecture

2009 ◽  
Vol 430 (1) ◽  
pp. 455-482 ◽  
Author(s):  
Kazumasa Nomura ◽  
Paul Terwilliger
Keyword(s):  
Tridiagonal Pairs
Sign in / Sign up

Export Citation Format

Share Document