Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Cruz, Sara Cruz y"'
Publikováno v:
Symmetry 2021,13,1583
The construction of exactly solvable refractive indices allowing guided TE modes in optical waveguides is investigated within the formalism of Darboux-Crum transformations. We apply the finite-difference algorithm for higher-order supersymmetric quan
Externí odkaz:
http://arxiv.org/abs/2108.12523
Publikováno v:
Geometric Methods in Physics XXXVIII. Trends in Mathematics. Birkh\"auser, Cham, 2020, pp 283-292
The energy spectra of two different quantum systems are paired through supersymmetric algorithms. One of the systems is Hermitian and the other is characterized by a complex-valued potential, both of them with only real eigenvalues in their spectrum.
Externí odkaz:
http://arxiv.org/abs/2001.02794
Coherent states for exactly solvable time-dependent oscillators generated by Darboux transformations
Publikováno v:
Phys. Scr. 95 (2020) 044009
The Darboux method is commonly used in the coordinate variable to produce new exactly solvable (stationary) potentials in quantum mechanics. In this work we follow a variation introduced by Bagrov, Samsonov, and Shekoyan (BSS) to include the time-var
Externí odkaz:
http://arxiv.org/abs/1909.04136
Autor:
Rosas-Ortiz, Oscar, Cruz, Sara Cruz y
Publikováno v:
Math. Met. Appl. Sci. 45 (2022) 3381-3392
Bright and dark solitons of the cubic nonlinear Schrodinger equation are used to construct complex-valued potentials with all-real spectrum. The real part of these potentials is equal to the intensity of a bright soliton while their imaginary part is
Externí odkaz:
http://arxiv.org/abs/1805.00058
Publikováno v:
Advances in Mathematical Physics, vol. 2017, Article ID 7168592, 15 pages, 2017
The purposes of this work are (1) to show that the appropriate generalizations of the oscillator algebra permit the construction of a wide set of nonlinear coherent states in unified form; and (2) to clarify the likely contradiction between the noncl
Externí odkaz:
http://arxiv.org/abs/1708.05103
Autor:
Enriquez, Marco, Cruz, Sara Cruz y
Using the Hubbard representation for $SU(2)$ we write the time-evolution operator of a two-level system in the disentangled form. This allows us to map the corresponding dynamical law into a set of non-linear coupled equations. In order to find exact
Externí odkaz:
http://arxiv.org/abs/1708.02348
Publikováno v:
Ann. Phys. 373 (2016) 346-373
It is shown that each one of the Lie algebras su(1,1) and su(2) determine the spectrum of the radial oscillator. States that share the same orbital angular momentum are used to construct the representation spaces of the non-compact Lie group SU(1,1).
Externí odkaz:
http://arxiv.org/abs/1603.03499
Autor:
Cruz, Sara Cruz y, Rosas-Ortiz, Oscar
Publikováno v:
Advances in Mathematical Physics, vol. 2015, Article ID 281472, 10 pages, 2015
A classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well known resemblance between the guided and radiation modes of a waveguide with th
Externí odkaz:
http://arxiv.org/abs/1504.01008
Publikováno v:
Geometric Methods in Physics, Trends in Mathematics 2013, pp 275-281
It is reported that the phase time of particles which are reflected by a one-dimensional semi-harmonic well includes a time delay term which is negative for definite intervals of the incoming energy. In this interval, the absolute value of the negati
Externí odkaz:
http://arxiv.org/abs/1208.4317
Autor:
Cruz, Sara Cruz y, Rosas-Ortiz, Oscar
Publikováno v:
SIGMA 9 (2013), 004, 21 pages
We analyze the dynamical equations obeyed by a classical system with position-dependent mass. It is shown that there is a non-conservative force quadratic in the velocity associated to the variable mass. We construct the Lagrangian and the Hamiltonia
Externí odkaz:
http://arxiv.org/abs/1208.2300