152 citations · 407 across the 8 of their papers we have counts for
8 papers
Sufficiency Criterion for the Validity of the Adiabatic Approximation
D M Tong, K Singh, L C Kwek +1
We examine the quantitative condition which has been widely used as a criterion for the adiabatic approximation but was recently found insufficient. Our results indicate that the u…
Quantitative conditions do not guarantee the validity of the adiabatic approximation
D. M. Tong, K. Singh, L. C. Kwek +1
In this letter, we point out that the widely used quantitative conditions in the adiabatic theorem are insufficient in that they do not guarantee the validity of the adiabatic appr…
Geometric phases for non-degenerate and degenerate mixed states
K. Singh, D. M. Tong, K. Basu +2
This paper focuses on the geometric phase of general mixed states under unitary evolution. Here we analyze both non-degenerate as well as degenerate states. Starting with the non-d…
q-Deformation of the Krichever-Novikov Algebra
C. H. Oh, K. Singh
The recent focus on deformations of algebras called quantum algebras can be attributed to the fact that they appear to be the basic algebraic structures underlying an amazingly div…
Symmetric Multiplets in Quantum Algebras
L. C. Kwek, C. H. Oh, K. Singh
We consider a modified version of the coproduct for $\U(\su_q(2))$ and show that in the limit when , there exists an essentially non-cocommutative coproduct. We st…
Two-State Spectral-Free Solutions of Frenkel-Moore Simplex Equation
L. C. Kwek, C. H. Oh, K. Singh +1
Whilst many solutions have been found for the Quantum Yang-Baxter Equation (QYBE), there are fewer known solutions available for its higher dimensional generalizations: Zamolodchik…