نتایج جستجو برای: discrete hamiltonian system

تعداد نتایج: 2368794  

Journal: :bulletin of the iranian mathematical society 0
b. p. ‎allahverdiev‎ department of mathematics, suleyman demirel university, 32260 isparta, turkey

in this paper, the maximal dissipative extensions of a symmetric singular 1d discrete hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the hilbert space ℓ_{ω}²(z;c²) (z:={0,±1,±2,...}) are considered. we consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. for each of these cases we establish a self...

  The quantum dynamics of a charged particle in an infinite chain of single-state quantum wells, in tight-binding approximation and under the action of an arbitrary time-dependent external field is investigated. The connection between the Hamiltonian description of this model and the Hamiltonian of a discrete-charge mesoscopic quantum circuit is elucidated. Based on this connection, the persist...

لاله فرهنگ متین, ,

The most common reaction-diffusion model on a Cayley tree with the nearest neighbor interactions is introduced, and the shock measure on a Cayley tree with the nearest interactions is studied. This can be solved through the full-interval method, the evolution equation of the system can be solved exactly in a closed form. The stationary solutions of such models are discussed and the final config...

Journal: :international journal of nano dimension 0
t. farajollahpour department of physics, faculty of science, i.h.u tehran, iran. a. rezvani department of physics, faculty of science, i.h.u tehran, iran. m. r. khodarahmi department of physics, faculty of science, i.h.u tehran, iran. m. arasteh department of physics, faculty of science, i.h.u tehran, iran.

in this paper energy bands and berry curvature of graphene was studied. desired hamiltonian regarding the next-nearest neighbors obtained by tight binding model. by using the second quantization approach, the transformation matrix is calculated and the hamiltonian of system is diagonalized. with this hamiltonian, the band structure and wave function can be calculated. by using calculated wave f...

2009
MELVIN LEOK JINGJING ZHANG J. ZHANG

We derive a variational characterization of the exact discrete Hamiltonian, which is a Type II generating function for the exact flow of a Hamiltonian system, by considering a Legendre transformation of Jacobi’s solution of the Hamilton–Jacobi equation. This provides an exact correspondence between continuous and discrete Hamiltonian mechanics, which arise from the continuousand discrete-time H...

In this paper, the maximal dissipative extensions of a symmetric singular 1D discrete Hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the Hilbert space ℓ_{Ω}²(Z;C²) (Z:={0,±1,±2,...}) are considered. We consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. For each of these cases we establish a self...

Journal: :Journal of Physics A: Mathematical and General 2006

Journal: :Systems & Control Letters 2006

Journal: :Computers & Mathematics with Applications 2005

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