أخذنا مؤثر الهاملتوني الفعال حتى الدرجة السادسة [12] وهذا المؤثر مكّننا من الانتقال من نظرية المعايرة الصافية مع الزمرة SU(2) إلى دراسة ميكانيك الكم الإحصائي مع الزمرة SU(2) وهذا يعني فيزيائيا" أننا انتقلنا من دراسة عدد لا نهائي من الجسيمات و درجات الحرية (بلازما الكواركات والغليونات) إلى دراسة ثلاثة جسيمات
( غلوبال) أي تسع درجات حرية و بالتحديد تسع هزازات لا توافقية و بعدها قمنا بتطبيق صيغة فغنر[16]على الصيغ المتجانسة المتبقية بعد تكميم الصيغ غير المتجانسة واستنتجنا علاقة تطور الزمن الحقيقي للطاقة المغناطيسية الملونة وللطاقة الكهربائية الملونة
We take the effective Hamiltonian operator until the sixth degree[12] and this operator has enabled us to convert from pure gauge theory with group SU(2) into the study of statistical quantum mechanics with the group SU(2) and this mean physically we have converted from the study of an infinite number of particles and of freedom degrees (quarks- gluons-plasma) into study of three particles (Global) that mains nine of freedom degrees and specifically nine anharmonic oscillators and after that we apply Wigner’s mode[16] on homogenous modes remaining after quantization of the inhomogenous modes and we have concluded the relation of real-time evolution of the color magnetic energy and the color electric energy .
References used
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LUSCHER, M. and MUNSTER‚ G.Weak-coupling expansion of the low-lying Energy values in the SU(2) gauge theory on a torus. Nucl . Phys. B North-Holland Vol. 232‚ .3‚ 1984‚PP. 445-472
KOLLER‚J. and VANBAAL‚ P.-SU(2) Spectroscopy Intermediate Volumes Phys. Rev Lett. U.S.A. vol. 58‚ .24‚ 1987‚PP. 2511-2514
VAN BAAL‚ P .and KOLLER‚ J.QCD on a Torus‚ and Electric Flux Energies From Tunneling Ann. Phys . U.S.A. VOL. 174‚ .2‚ 1987 ‚299-371
KRIPFGANZ ‚ J. and MICHAEL‚ C.- Fermionic Contributions to The Glueball Spectrum In a Small Volume Phys. Lett.B North-Holland vol. 209, .1‚ 1988. 77- 79
We take the effective Hamiltonian operator until the sixth degree [18] and this operator has enabled us to convert from gauge theory with group SU(2) into the study of statistical quantum mechanics with the group SU(2) and this mean physically we hav
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