Acta Polytechnica. 2017, vol. 57, no.6
http://hdl.handle.net/10467/73704
2020-07-07T00:38:36ZCRYPTOHERMITIAN APPROACH TO THE KLEIN–GORDON EQUATION
http://hdl.handle.net/10467/73729
CRYPTOHERMITIAN APPROACH TO THE KLEIN–GORDON EQUATION
Semoradova , Iveta
We explore the Klein-Gordon equation in the framework of crypto-Hermitian quantum mechanics. Solutions to common problems with probability interpretation and indefinite inner product of the Klein-Gordon equation are proposed.
2017-01-01T00:00:00ZLIE ALGEBRA REPRESENTATIONS AND RIGGED HILBERT SPACES: THE SO2 CASE
http://hdl.handle.net/10467/73728
LIE ALGEBRA REPRESENTATIONS AND RIGGED HILBERT SPACES: THE SO2 CASE
Celeghini , Enrico; Gadella , Manuel; del Olmo A, Mariano
It is well known that related with the irreducible representations of the Lie group SO(2) we find a discrete basis as well a continuous one. In this paper we revisited this situation under the light of Rigged Hilbert spaces, which are the suitable framework to deal with both discrete and bases in the same context and in relation with physical applications.
2017-01-01T00:00:00ZON THE COMMON LIMIT OF THE PTSYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS
http://hdl.handle.net/10467/73727
ON THE COMMON LIMIT OF THE PTSYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS
Kovács , József; Lévai , Géza
Two PT-symmetric potentials are compared, which possess asymptotically finite imaginary components: the PT-symmetric Rosen-Morse II and the finite PT-symmetric square well potentials. Despite their different mathematical structure, their shape is rather similar, and this fact leads to similarities in their physical characteristics. Their bound-state energy spectrum was found to be purely real, an this finding was attributed to their asymptotically non-vanishing imaginary potential components. Here the V(x)= γδ(x)+ i2Λ sgn(x) potential is discussed, which can be obtained as the common limit of the two other potentials. The energy spectrum, the bound-state wave functions and the transmission and reflection coefficients are studied in the respective limits, and the results are compared.
2017-01-01T00:00:00ZLAMBERT FUNCTION METHODs TO STUDY LASER DYNAMICS WITH TIMEDELAYED FEEDBACK
http://hdl.handle.net/10467/73726
LAMBERT FUNCTION METHODs TO STUDY LASER DYNAMICS WITH TIMEDELAYED FEEDBACK
Joglekar N, Yogesh; Vemuri , Gautam; Wilkey , Andrew
Time-delayed differential equations arise frequently in the study of nonlinear dynamics of lasers with optical feedback and because the analytical solution of such equations can be intractable, one resorts to numerical methods. In this manuscript, we show that under some conditions, the rate equations model that is used to model semiconductor lasers with feedback can be analytically solved by using the Lambert W function. In particular, we discuss the conditions under which the coupled rate equations for the intracavity electric field and carrier inversion can be reduced to a single equation for the field, and how this single rate equation can be cast in a form that is amenable to the use of the Lambert W function.
2017-01-01T00:00:00Z