Classical and Quantum Dilogarithm Identities

Dirac P.M.A., The principles of quantum mechanics, 4th ed., Clarendon Press, Oxford, 1958

1958

Earlier work this paper cites.

Berezin F.A., The method of second quantization,

1966

Earlier work this paper cites.

Lewin L., Polylogarithms and associated functions, North-Holland Publishing Co., New York – Amsterdam, 1981

1981

Earlier work this paper cites.

Kirillov A.N., Identities for the Rogers dilogarithm function connected with simple Lie algebras,

1989

Earlier work this paper cites.

Bazhanov V.V., Reshetikhin N.Yu., Restricted solid-on-solid models connected with simply laced algebras and conformal field theory,

1990

Earlier work this paper cites.

Kirillov A.N., Reshetikhin N.Yu., Representations of Yangians and multiplicities of the inclusion of the irreducible components of the tensor product of representations of simple Lie algebras,

1990

Earlier work this paper cites.

Bazhanov V.V., Baxter R.J., Star-triangle relation for a three-dimensional model,

1993

Earlier work this paper cites.

Faddeev L.D., Volkov A.Yu., Abelian current algebra and the Virasoro algebra on the lattice,

1993

Earlier work this paper cites.

Faddeev L.D., Kashaev R.M., Quantum dilogarithm,

1994

Earlier work this paper cites.

Kashaev R.M., Quantum dilogarithm as a

1994

Earlier work this paper cites.

Bazhanov V.V., Reshetikhin N.Yu., Remarks on the quantum dilogarithm,

1995

Earlier work this paper cites.

Faddeev L.D., Discrete Hisenberg–Weyl group and modular group,

1995

Earlier work this paper cites.

Frenkel E., Szenes A., Thermodynamic Bethe ansatz and dilogarithm identities. I,

1995

Earlier work this paper cites.

Gliozzi F., Tateo R., ADE functional dilogarithm identities and integrable models,

1995

Earlier work this paper cites.

Kirillov A.N., Dilogarithm identities,

1995

Earlier work this paper cites.

Faddeev L.D., Current-like variables in massive and massless integrable models, in Quantum Groups and their Applications in Physics (Varenna, 1994), Editors L. Castellani and J. Wess, IOS, Amsterdam, 1996, 117–135,

1996

Earlier work this paper cites.

Gliozzi F., Tateo R., Thermodynamic Bethe ansatz and three-fold triangulations,

1996

Cited alongside, same era.

Kashaev R.M., The hyperbolic volume of knots from the quantum dilogarithm,

1997

Cited alongside, same era.

Ruijsenaars S.N.M., First order analytic difference equations and integrable quantum systems,

1997

Cited alongside, same era.

Kashaev R.M., Quantization of Teichmüller spaces and quantum dilogarithm,

1998

Cited alongside, same era.

Woronowicz S.L., Quantum exponential function,

2000

Cited alongside, same era.

Faddeev L.D., Kashaev R.M., Volkov A.Yu., Strongly coupled quantum discrete Liouville theory. I. Algebraic approach and duality,

2001

Cited alongside, same era.

Bazhanov V.V., Mangazeev V.V., Sergeev S.M., Quantum geometry of 3-dimensional lattices,

Original

2008

Later among the works it cites.

Goncharov A.B., Pentagon relation for the quantum dilogarithm and quantized

Original

2008

Later among the works it cites.

Takhtajan L.A., Quantum mechanics for mathematicians,

2008

Later among the works it cites.

Fock V.V., Goncharov A.B., Cluster ensembles, quantization and the dilogarithm,

2009

Later among the works it cites.

Fock V.V., Goncharov A.B., Cluster ensembles, quantization and the dilogarithm. II. The intertwiner, in Algebra, Arithmetic, and Geometry: in Honor of Yu.I. Manin, Vol. I,

2009

Later among the works it cites.