Structure of the electronic energy spectrum of the one-dimensional nondiagonal Thue-Morse lattice

1997 ◽  
Vol 228 (3) ◽  
pp. 195-201 ◽  
Author(s):  
Peiqing Tong
1976 ◽  
Vol 120 (11) ◽  
pp. 337 ◽  
Author(s):  
B.L. Gel'mont ◽  
V.I. Ivanov-Omskii ◽  
I.M. Tsidil'kovskii

2020 ◽  
Vol 35 (31) ◽  
pp. 2050255
Author(s):  
D. Ojeda-Guillén ◽  
R. D. Mota ◽  
M. Salazar-Ramírez ◽  
V. D. Granados

We extend the (1 + 1)-dimensional Dirac–Moshinsky oscillator by changing the standard derivative by the Dunkl derivative. We demonstrate in a general way that for the Dirac–Dunkl oscillator be parity invariant, one of the spinor component must be even, and the other spinor component must be odd, and vice versa. We decouple the differential equations for each of the spinor component and introduce an appropriate su(1, 1) algebraic realization for the cases when one of these functions is even and the other function is odd. The eigenfunctions and the energy spectrum are obtained by using the su(1, 1) irreducible representation theory. Finally, by setting the Dunkl parameter to vanish, we show that our results reduce to those of the standard Dirac-Moshinsky oscillator.


1999 ◽  
Vol 25 (10) ◽  
pp. 772-774 ◽  
Author(s):  
A. F. Aleksandrov ◽  
A. A. Rukhadze ◽  
V. P. Savinov ◽  
I. F. Singaevski

1976 ◽  
Vol 19 (11) ◽  
pp. 879-893 ◽  
Author(s):  
B L Gel'mont ◽  
V I Ivanov-Omskiĭ ◽  
I M Tsidil'kovskiĭ

1996 ◽  
Vol 37 (3) ◽  
pp. 508-510
Author(s):  
Yu. M. Basalaev ◽  
Yu. N. Zhuravlev ◽  
A. S. Poplavnoi

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