1. Now, do Hamiltonian systems actually behave like this?

2. The Hamiltonian formulation provides a very elegant and symmetrical description of mechanics.

3. The Hamiltonian is separable in normal coordinates.

4. A method is proposed to exactly diagonalize the Hamiltonian of a N-layer quantum dot containing a single electron in each dot in arbitrary magnetic fields.

5. The Hamiltonian of a radial equation is defined on a half-line, and there is a close relation between its hermitian and the boundary condition of the wave functions at the origin.

6. In order to find out all Hamiltonian tours of a graph, this paper puts forward the concepts about H sets, H matrices joining product and path matrix, etc.

7. From the Hamiltonian of the atomic system, making use of Born - Markoff approximation, the optical Bloch equations are derived.

8. These finite - dimensional Hamiltonian systems are further proved to be completely integrable in the Liouville sense.

9. A graph G is Hamiltonian-connected if there is a Hamiltonian path joining each pair of vertices in G.

10. In the two-sublattice model, the Heisenberg exchange interaction Hamiltonian of the simple ferrimagnetic crystal can be made diagonalization by the use of HP, Fourier and Bogoliubov transformation.

11. A class of quintic Hamiltonian system with Z2-symmetry is considered. Using the methods of qualitative analysis, the global phase portraits are given.

11.

12. In this paper, we consider some planar quintic Hamiltonian vector field with Z3-equivariant property, get its global phase portraits, and classify its parameter space.

13. This paper studies the existence of Hamiltonian cycle in arrangement graphs which are a generalization of the star graphs.

14. An effective bosonic Hamiltonian describing the interaction of a mesoscopic Josephson junction with a quantized radiation field is studied.

15. Hamiltonian integrable systems is one of the most important topics in the theory of solitons.

16. Even general relativity can, if due care is exercised, be subsumed into the Hamiltonian framework.

17. The way that Q moves is completely determined by the Hamiltonian vector field.

18. The checking procedure is something that can be achieved much more rapidly than finding the Hamiltonian circuit in the first place.

19. Compared to previous calculations, the approach has the advantage that it does not require to diagonalize large Hamiltonian matrix.

20. The band structure model of commensurate double-walled carbon nanotube (DWNT) was built by using tight-binding Hamiltonian with curvature effect included.

21. Nuclear magnetic resonance: a time - dependent term in the Hamiltonian.

22. The quantum effects of the mesoscopic circuit with capacitive coupling under the excited states of squeezed vacuum states are investigated by quantizing the circuit and diagonalizing its Hamiltonian.

23. It is found that for a properly chosen zeroth order Hamiltonian, under adiabatic approximation, the result of quantization for both the chaotic state and the regular state has the similar precision.

24. In the second chapter, we give a sufficient condition for a 4 - connected graph to be Hamiltonian.

25. On the premise of considering Pauli exclusion principle strictly, we have obtained an exact general formula of multiparticle and multi-hole state densities for any single-particle Hamiltonian.

26. A new mapping scheme is used to map matrix to the general OTIS network, that is the matrix mapping scheme, processors are assigned according to Hamiltonian path in the basic graph of OTIS network.

27. It shows further that solution of the special paradox in classical elasticity is just Jordan canonical form solutions in symplectic space under Hamiltonian system.

28. The two mode coupling in analogy with the motion of the pendulum is proposed by an algebraic approach, which is based on an algebraic classical Hamiltonian on the coset sphere.

29. This paper is to show how a modified Wang product can be used to generate all the Hamiltonian cycles in a plane graph with considerably less computation than previousely reported.

30. The Coulomb interaction between the electron and the hole is treated accurately by the direct diagonalization of the Hamiltonian matrix.

31. We propose the coupled-cluster equation of motion method coupled with semiempirical Hamiltonian to calculate the multi-photon absorption cross-section for complex molecular systems.

32. Based on the dual variables, the Hamiltonian system theory is introduced into plane orthotropy elasticity, the transformation from Euclidian space to symplectic space is realized.

33. Meanwhile, it is the placard-waving, Jeffersonian common horde, flocking to town halls and filling town squares, whohave become the champions of Hamiltonian prudence.

34. Aim The Hamiltonian is transformed from Pauli matrices to Hubbard operators.

35. For a system, Hamiltonian is invariant under any translation of spatial coordinates.

36. A digraph D is hamiltonian if D contains a hamilton directed cycle.

37. The two-mode squeezed number states as the common eigenstates of the parametric amplifier Hamiltonian and the generalized two-mode squeeze operator are found.

38. This paper discusses the application of degree in other aspects of graph theory, such as cycle, Hamiltonian graph and matching on the base of reference.

39. The discrete algorithm to solving Hamiltonian is just called sylleptic algorithm.

40. An effective Hamiltonian of surface polaron interacting with the deformation potential in polar crystals was derived by using improved linear combination operator method.

41. Hamiltonian circuit, for a given a map to find the existence of maps of a Hamiltonian circuit algorithm.

42. Hamiltonian function was fitted with the test data, which were the value sets of phase coordinates measured in free oscillation of the systems, and the.

43. Based on supersymmetric mechanics, it is introduced supersymmetric unitary transformation to diagonalize the Hamiltonian.

44. Hamiltonian schemes of four order rod vibration equation are considered and hyperbolic function tanh( x ) is applied.

45. The ammonia maser: dynamics in a two - state system with a time - dependent Hamiltonian.

46. The contribution of a small normal magnetic component to the Hamiltonian is given by the method of Lie transformation.

47. A four-level system coupled with lasers is analyzed in terms of dressed-atom model by introducing auto-ionization decay which leads to a non-Hermitian Hamiltonian.

48. According to the orbit of adjoining matrix of directed graph the problem of Hamiltonian cycle is described.

49. A negatively charged exciton is a system of three charged objects, making the numerical computations difficult due to the large size of the basic vector set and the Hamiltonian matrix.

50. In term of the literature 1 a new algorithm for finding all undirected Hamiltonian circuits in an undirected graph is presented in this paper.

51. The definitions of Hamiltonian circuit, subloop and family of cycles are given first, then a solving process and a necessary condition about Hamiltonian circuit are discussed.

52. Based on the Hamiltonian principle, the coupled nonlinear functions of the system are presented as a Neumann problem.