The leader operators of the (d + 1)-dimensional relativistic rotating oscillators Abstract The main pairs of leader operators of the quantum models of rela-tivistic rotating oscillators in arbitrary dimensions are derived. To this end one exploits the fact that these models generate Pöschl-Teller radial problems with remarkable properties of supersymmetry and shape invariance.

Perovskite oxides are already widely used in industry and have huge potential for novel device applications thanks to the rich physical behaviour displayed in these materials. The key to the functional electronic properties exhibited by perovskites is often the so-called Jahn-Teller distortion. For applications, an electrical control of the Jahn-Teller distortions, which is so far out of reach,...

The C4H4 isomer cyclobutadiene (CBD) is the prime model for antiaromaticity and thus a molecule of considerable interest in chemistry. Because it highly reactive, can only be studied under isolated conditions. Its electronic structure characterized by pseudo-Jahn–Teller effect neutral E ⊗ β Jahn–Teller cation. As result, recording photoelectron spectra as well describing them theoretically has ...

The concept of symmetry and its breaking holds a special and important place in the physical sciences. One of the best known examples of such symmetry breaking is the Jahn-Teller effect. In their original paper, Jahn and Teller demonstrated(Jahn & Teller 1937) that a symmetry-dictated electronic degeneracy will always be raised by a non-totally symmetric distortion linear in nuclear coordinates...

The doped cuprates are considered to be a system of local spinless bosons moving in a lattice of the hole pseudo-Jahn-Teller centers CuO 4 . A detailed qualitative and quantitative description of the vibronic mechanism determining both the isotope substitution and the external pressure effect on Tc is given. This mechanism can properly interpret the principal peculiarities of isotopic and baric...

We investigated the symmetry breaking mechanism in cubic octa-tert-butyl silsesquioxane and octachloro silsesquioxane monocations (Si8O12(C(CH3)3)8(+) and Si8O12Cl8(+)) using density functional theory (DFT) and group theory. Under Oh symmetry, these ions possess (2)T2g and (2)Eg electronic states and undergo different symmetry breaking mechanisms. The ground states of Si8O12(C(CH3)3)8(+) and Si...

The properties of charge-exchange excitations of 208Pb with ∆L = 0, i.e., the isobaric analog and Gamow-Teller resonances, are studied within a self-consistent model making use of an effective force of the Skyrme type. The well-known isobaric analog case is used to assess the reliability of the model. The calculated properties of the Gamow-Teller resonance are compared with recent experimental ...