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1.
The polynomial algebra is a deformed su(2) algebra. Here, we use polynomial algebra as a method to solve a series of deformed oscillators. Thus, we find a series of physics systems corresponding with polynomial algebra with different highest orders. 相似文献
2.
The differences among quon operators, q
a-math oscillator operators and q-deformed oscillator operators are pointed out. The q-deformed ocsillator and q
a-math oscillator are constructed in terms of q
q = 0 quon. 相似文献
3.
In this paper, a (2+1)-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed infinite-dimensional Lie algebra which is a generalization of w∞ type algebra. Thus the complete integrability of this system is confirmed. 相似文献
4.
本文利用三参数李群求代数表示的方法求出多项式角动量代数的代数表示及其酉表示,找到一个能同时承载李代数及相对应的多项式角动量代数的基底,并在该基底下求出两种代数之间的联系,利用该联系则也可求出多项式角动量代数的代数表示.最后求出多项式角动量代数的单玻色实现及其在有限维多项式函数空间的微分实现.
关键词:
多项式角动量代数
Higgs代数
su(2)代数 相似文献
5.
KATSUNORI KAWAMURA 《Letters in Mathematical Physics》2006,77(2):111-126
In our previous article, we have presented a class of endomorphisms of the Cuntz algebras which are defined by polynomials of canonical generators and their conjugates. We showed the classification of some case under unitary equivalence by help of branching laws of permutative representations which are called cycles. In this article, we generalize results not only the cycle case but also the chain case and we give the maximum of the branching number of such branching laws. Further we classify endomorphisms effectively by graphs associated with their branching laws. 相似文献
6.
RUAN Dong LI Yan-Song SUN Hong-Zhou 《理论物理通讯》2007,47(3):529-534
In this paper two kinds of two-boson realizations of generally deformed algebras with three generators are obtained by generalizing the Jordan-Schwlnger realizations of SU(2) and SU(1,1). For each kind, a unitary realization and a non-unitary realizatlon, together with the properties of their acting spaces, are discussed. Similarity transformations that relate the non-unitary realizations to the unitary ones are given by solving unitarization equations. 相似文献
7.
We consider proper colorings of planar graphs embedded in the annulus, such that vertices on one rim can take Q
s colors, while all remaining vertices can take Q colors. The corresponding chromatic polynomial is related to the partition function of a boundary loop model. Using results
for the latter, the phase diagram of the coloring problem (with real Q and Q
s) is inferred, in the limits of two-dimensional or quasi one-dimensional infinite graphs. We find in particular that the special
role played by Beraha numbers
for the usual chromatic polynomial does not extend to the case Q≠Q
s. The agreement with (scarce) existing numerical results is perfect; further numerical checks are presented here. 相似文献
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10.
Resorting to suitable representations of q-algebras, we give a new proof of the theorem stating that the Gaussian polynomial defined by the q-binomial coefficient is the weight (polynomial generating function) of the restricted (i.e. limited in number and size of summands) k-rowed plane partitions. 相似文献
11.
Abdullah Algin 《Czechoslovak Journal of Physics》2002,52(9):1011-1019
A two-parameter deformed N = 2 SUSY algebra is constructed by using the q-deformed bosonic and fermionic Newton oscillator algebras. The Fock space representation of the (q
1,q
2)-deformed N = 2 SUSY algebra is analyzed. The comparison between the algebra constructed and earlier versions of deformed N = 2 SUSY algebras is also made. 相似文献
12.
Deformed oscillator algebra for quantum superintegrable systems in two-dimensional Euclidean space and on a complex two-sphere 下载免费PDF全文
In this work,we study superintegrable quantum systems in two-dimensional Euclidean space and on a complex twosphere with second-order constants of motion.We show that these constants of motion satisfy the deformed oscillator algebra.Then,we easily calculate the energy eigenvalues in an algebraic way by solving of a system of two equations satisfied by its structure function.The results are in agreement to the ones obtained from the solution of the relevant Schrdinger equation. 相似文献
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14.
The development and evolution of a Phase-Lock Loop (PLL) system up to the highest frequencies of Backward Wave Oscillators (BWO) is considered starting from the first submillimeter BWO PLL in 1970. Improvements and increase of working range near to Terahertz are followed. Development of the series of commercial BWO-based millimeter wave frequency synthesizers, extension of the BWO PLL beyond Terahertz as well as recent progress in fast millimeter wave frequency synthesizers are described. Applications of BWO PLL systems for physical and technical measurements are discussed and some proposals for the next generation of BWO-based synthesizers are presented. 相似文献
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16.
In this paper, by introducing an entropy of Markov evolution algebras, we treat the isomorphism of S-evolution algebras. A family of Markov evolution algebras is defined through the Hadamard product of structural matrices of non-negative real S-evolution algebras, and their isomorphism is studied by means of their entropy. Furthermore, the isomorphism of S-evolution algebras is treated using the concept of relative entropy. 相似文献
17.
Zdenka Riečanová 《International Journal of Theoretical Physics》2004,43(9):1875-1883
We give a method of constructing a lattice effect algebra E with given family of blocks. The given MV-effect algebras are pasted along some common sub-MV-effect algebras in a such manner that there exists an ((o)-continuous) state on the pasting E. 相似文献
18.
Single Boson Realizations of the Higgs Algebra 总被引:1,自引:0,他引:1
We obtained for the Higgs algebra three kinds of single boson realizations such as the unitary Holstein-Primakoff-like realization, the non-unitary Dyson-like realization, and the unitary Villain-like realization. The corre-sponding similarity transformations between the Holstein-Primakoff-like realizations and the Dyson-like realizations are given. 相似文献
19.
Tensor product of irreducible representations of Hecke algebras are discussed. It is found that the tensor product of irreps of Hecke algebras generates representations of Birman-Wenzl algebra Cƒ(γ, q) with γ = q3 or-q-3. A procedure for the evaluation of tensor product coefficients (TPC's) of Hƒ (q)oHƒ(q) ↓ Cƒ(γ,q) is established when the representations of Cƒ(γ, q) remain irreducible. An example of deriving TPC's of Hƒ (q)oHƒ(q) ↓ Cƒ(γ, q) is given. It is also found that indecomposable representation of C4(γ q) occurs in the tensor product [211]o[31]. 相似文献
20.
By using the sequential effect algebra theory, we establish the partitions and refinements of quantum logics and study their entropies. 相似文献