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QUANTUM COHOMOLOGY OF THE LAGRANGIAN GRASSMANNIAN
LAGRANGIAN GRASSMANNIAN QUANTUM COHOMOLOGY
2015/12/17
Let V be a symplectic vector space and LG be the Lagrangian
Grassmannian which parametrizes maximal isotropic subspaces in V . We give
a presentation for the (small) quantum cohomology ring QH¤(LG) ...
Comment on "A new exactly solvable quantum model in $N$ dimensions"
Comment solvable quantum model $N$ dimensions
2011/7/7
We pinpoint that the work about "a new exactly solvable quantum model in $N$ dimensions" by Ballesteros et al. [Phys. Lett. A {\bf 375} (2011) 1431, arXiv:1007.1335] is not a new exactly solvable quan...
Dirac Operator on Complex Manifolds and Supersymmetric Quantum Mechanics
Dirac Operator Complex Manifolds Supersymmetric Quantum Mechanics
2011/3/2
We explore a new simple N = 2 SQM model describing the motion over complex manifolds in external gauge fields. The nilpotent supercharge Q of the model can be interpreted as a (twisted) exterior holom...
Quantum invariants of random 3-manifolds
quantum invariants random 3-manifolds Heegaard genus
2010/12/1
We consider the SO(3) Witten-Reshetikhin-Turaev quantum invariants
of random 3-manifolds. When the level r is prime, we show that the asymptotic distribution of the absolute value of these invariants...
Discrete-time quantum walks on one-dimensional lattices
Discrete-time quantum walks one-dimensional lattices
2010/4/2
In this paper, we study discrete-time quantum walks on one-dimensional lattices. We find that the coherent dynamics depends on the initial states and coin parameters. For infinite size of lattice, we ...