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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,(sentencedict .com) 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(sentencedict.com), 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.