ملخص: This work deals with the construction of a new class of exactly solvable models. The quantitative test of the adiabatic Born-Oppenheimer (BO) method and its application to niclear rotation-vibration. First,to test the validity of various many-body approximation methods, we construct a new analytically solvable model. The construction is based on two vector operators that are defined in terms of single-particle posotions and momenta, and are the generators of a lie algebra. The model consists of a one-dimensional system of two distinguishable sets of fermions interacting via a schematic two-body force. We show that the model hamiltobian provides analytic solutions. Exact eigenvalues are compared with the corresponding solutions of the time-dependent Hartree-Fock (TDHF) and BO methods. Although both methods describe the system's eigenstates very well, the latter is shown to be more accurate in the adiabatic dommain.

طبعة: Cambridge, Massachusetts: Massachusetts Institute of Technology
لغة: إنجليزية
الوصف المادي: 206 p. ill. ;30 cm
الشهادة: Ph.D
مؤسسة مناقشة الرسالة: Massachusetts Institute of Technology

ملاحظة: Bibliogr.p.183; Figr.pp.184-188; Annexe pp.189-204