Versuchsergebnisse

A transition in the spectral statistics of quantum optical model by different electromagnetic fields

“…To do so, we count the number of the levels below E and write it as It is well known that the real and complex systems such as nuclei are usually not fully ergodic and neither are they integrable. Different distribution functions [20][21][22][23][24] have been proposed to compare the spectral statistics of considered systems with regular and chaotic limits quantitatively and also explore the interpolation between these limits [12][13][14][15]. Berry-Robnik distribution [13] is one of the popular for estimated values and also exhibit more approaches to chaotic dynamics, Maximum Likelihood (ML) technique has been used [10] which yields very exact results with low uncertainties in comparison with other estimation methods.…”

“…The fluctuation properties of quantum systems with underlying classical chaotic behavior and time reversal symmetry correspond with the predictions of the Gaussian orthogonal ensemble (GOE) of random matrix theory. On the contrary, integrable systems lead to level fluctuations that are well described by the Poisson distribution, i.e., levels behave as if they were uncorrelated [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The information on regular and chaotic nuclear motion available from experimental data is rather limited, because the analysis of energy levels requires the knowledge of sufficiently large pure sequences, i.e., consecutive levels sample all with the same quantum numbers (J, ) in a given nucleus.…”

Indole Alkaloids. XVII. Five Dihydroindole Alkaloids from Aspidosperma Verbascifolium

“…(**) As in the case of compounds I to IV, the mass spectrum of VII showed only two large ions: the molecular ion (336) and the M-1 ion (335). The other fragmentation peak are very weak ni/e 252, 235, 180, 169, 168, 152, and 96, b) Formylation of kopsanol [11] with formic acid in the presence of acetic anhydride gave N,-formylkopsanol identical with the natural compound (IR, m.p., mixture m.p., [ a ] and Rf).…”

“…Duckei and A. macrocarpon. Kopsanone [I], kopsanol [11] and 3'-epikopsanol [I111 were identified on the basis of their physical properties and by direct comparison with authentic samples (Rf, m.p. and mixture m.p.…”