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ENERGY OF TWISTED HARMONIC MAPS OF RIEMANN SURFACES
Riemann surface fundamental group flat bundle harmonic map energy Teichmuller space convex cocompact hyperbolic manifold
2015/12/17
The energy of harmonic sections of flat bundles of nonpositively curved (NPC) length spaces over a Riemann surface S is a function E ρ on Teichm¨uller space TS which is a qualitative invariant of the ...
FIRST VARIATION OF THE GENERAL CURVATURE-DEPENDENT SURFACE ENERGY
Surface energy gradient fl ow mean curvature
2015/12/11
We consider general surface energies, which are weighted integrals
over a closed surface with a weight function depending on the position, the
unit normal and the total curvature of the surface. Ene...
The Energy-Momentum tensor on low dimensional $\Spinc$ manifolds
Spinc structures Dirac operator eigenvalues Energy-Momentum tensor compact surfaces isometric immersions
2012/4/18
On a compact surface endowed with any $\Spinc$ structure, we give a formula involving the Energy-Momentum tensor in terms of geometric quantities. A new proof of a B\"{a}r-type inequality for the eige...
Extremal Kahler metrics and energy functionals on projective bundles
Extremal Kahler metrics energy functionals projective bundles
2011/9/21
Abstract: In this paper, we prove the equivalence of the existence of extremal Kahler metrics and the properness of the modified K energy on projective bundles. Moreover, we discuss the relations of t...
The ground state energy of a charged particle on a Riemann surface
ground state energy charged particle Riemann surface
2011/3/3
It is shown that the quantum ground state energy of particle of mass m and elec-tric charge e moving on a compact Riemann surface under the influence of a constant magnetic field of strength B is E0 =...
We study pure Yang–Mills theory on × S2, where is a compact Riemann surface, and invariance is assumed under rotations of S2. It is well known that the self-duality equations in this set-up reduce...
We study the Casimir energy of a scalar field for a regular polygon with N sides.
Casimir energy scalar field regular polygon
2011/2/25
We study the Casimir energy of a scalar field for a regular polygon with N sides.The scalar field obeys Dirichlet boundary conditions at the perimeter of the polygon.
Pseudo-invariant Eigen-operator for Deriving Energy-Level Gap for
Jaynes-Cummings Model
pseudo-invariant eigen-operator method Jaynes-Cummings model energy gap
2007/8/15
2006Vol.45No.2pp.255-258DOI:
Pseudo-invariant Eigen-operator for Deriving Energy-Level Gap for
Jaynes-Cummings Model
FAN Hong-Yi1,2 and DA Cheng3
1 Department of Physics...