Results 11 to 20 of about 3,284,290 (233)
Generating q-Commutator Identities and the q-BCH Formula [PDF]
Advances in Mathematical Physics, 2016 Motivated by the physical applications of q-calculus and of q-deformations, the aim of this paper is twofold. Firstly, we prove the q-deformed analogue of the celebrated theorem by Baker, Campbell, and Hausdorff for the product of two exponentials.
Andrea Bonfiglioli, Jacob Katriel
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, 2022 As analytic statements, classical $q$-series identities are equalities between power series for $|q|
Lovejoy, Jeremy, Jeremy Lovejoy
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On Gosper's Pi(q) and Lambert series identities [PDF]
, 2022 In an interesting article entitled `Experiments and discoveries in q-trigonometry'', R. W. Gosper conjectured few beautiful Pi(q) and Lambert series identities.
Vasuki, K. R. +2 more
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A family of q-Dyson style constant term identities [PDF]
, 2009 By generalizing Gessel–Xin's Laurent series method for proving the Zeilberger–Bressoud q-Dyson Theorem, we establish a family of q-Dyson style constant term identities.
Yue Zhou +5 more
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Tiling proofs of Jacobi triple product and Rogers-Ramanujan identities [PDF]
, 2022 We use the method of tiling to give elementary combinatorial proofs of some celebrated $q$-series identities, such as Jacobi triple product identity, Rogers-Ramanujan identities, and some identities of Rogers.
Shukla, Alok
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Exact solution of the sp(4) integrable spin chain with generic boundaries
Journal of High Energy Physics, 2019 The off-diagonal Bethe ansatz method is generalized to the integrable model associated with the sp(4) (or C 2) Lie algebra. By using the fusion technique, we obtain the complete operator product identities among the fused transfer matrices.
Guang-Liang Li +7 more
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Off-diagonal Bethe Ansatz for the D 3 1 $$ {D}_3^{(1)} $$ model
Journal of High Energy Physics, 2019 The exact solutions of the D 3 1 $$ {D}_3^{(1)} $$ model (or the so(6) quantum spin chain) with either periodic or general integrable open boundary conditions are obtained by using the off-diagonal Bethe Ansatz.
Guang-Liang Li +7 more
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Off-diagonal Bethe Ansatz on the so(5) spin chain
Nuclear Physics B, 2019 The so(5) (i.e., B2) quantum integrable spin chains with both periodic and non-diagonal boundaries are studied via the off-diagonal Bethe Ansatz method. By using the fusion technique, sufficient operator product identities (comparing to those in [1]) to ...
Guang-Liang Li +7 more
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Congruences from $q$-Catalan Identities [PDF]
, 2016 In this paper, by studying three $q$-Catalan identities given by Andrews, we arrive at a certain number of congruences. These congruences are all modulo $Phi_n(q)$, the $n$-th cyclotomic polynomial or the related functions and modulo $q$-integers
Qing Zou
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, 2009 summary:In this paper, we first give several operator identities which extend the results of Chen and Liu, then make use of them to two $q$-series identities obtained by the Euler expansions of $(a;q)_{\infty }$ and $\frac{1}{(a;q)_{\infty }}$.
Yang, Jizhen, Zhang, Zhizheng
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