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In this thesis the process of constructing the non-perturbative Hamiltonian theory is de-scribed and is applied to estimate the vacuum condensate. It contains the following contents:At the very beginning, by using the path integral method and eliminating the gluon freedom, aGCM action 〓 of current quarks including lower order current-current coupling was derivedfrom the QCD Lagrangian and the effective Hamiltonian operator that could hardly be doneby the normal methods was derived. After doing this, the broken vacuum is introduced whichincludes quark-antiquark condensate through the generalized Bogoliubov-Valatin transformation,the effective Hamiltonian of constituent quark was derived. The detailed formulas containingthe spatial current-current coupling term for the effective Hamiltonian and gap equations wasworked out by parameterizing the correlation kernel as a quadratic potential. And then, the gapequation was solved and the quark-antiquark condensate of vacuum was studied both in the casesof instantaneous interaction and retarded interaction. In the end, the effective Hamiltionian withtwo-body quark-quark interaction was derived with one-body approximation, and with the helpof the functional integral method the coupling non-linear dynamic equations for systems withnuclear matter was derived. Finally, these equations were solved by selfconsistent method andthe effect of nuclear matter on vacuum condensate was studied. The spatial current-current coupling term is too difficult to handle, hence the correlationkernel is assumed to be not important and usually omitted in the pure vacuum condensate, andthe instantaneous interaction generally is adopted. Retaining the spatial current-current termand partial retardation effect, the quark pairs condensate in pure vacuum was studied, and theeffect of quark mass was also studied. At present, little study is focused in the case with nuclearmatter and spatial current-current term also omitted. Under the approximation with partialspatial current-current term, the effect of nuclear matter on vacuum condensate was studied.

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In the administration of State affairs on any matter which involves an important problem of public concern, affects national or public interest, or requires urgency, a member of the House of Representatives may notify the President of the House of Representatives in writing prior to the commencement of the sitting of the day, that he will interpellate the Prime Minister or the Minister responsible for the administration of State affairs on that matter without specifying the question, and the President of the House of Representatives shall place such matter on the agenda of the meeting of that day.

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The observations of dark and bright matter wave solitons,the study of matter wave solitons have been one of the hot issues in the fields of both low-temperature physics and condensed matter physics due to their potential application.

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The above multiple changes will produce 2 kinds of waves, Matter waves and mechanical waves that spread at the same time. Because the electromagnetic wave is a matter wave, it is the medium. Since the multiple exchanges of the electrons state can be regarded as electrical vibration, and the vibrated electrons have magnetic fields and electrical fields at the same time, the electromagnetic wave will be produced. Then, because the electron itself is a matter micro particle, it can produce mechanical waves which can propagate outside with electrical magnetic waves.

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It appears to you that there is living matter and nonliving matter, leading to such questions as: How does nonliving matter become living?

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"Dark matter : Nonluminous matter not directly detectable by astronomers, hypothesized to exist because the mass of the visible matter in the universe cannot account for observed gravitational effects."

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