Prohlížení Acta Polytechnica. 2022, vol. 62, no.1 dle názvu
Zobrazují se záznamy 10-22 z 22
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Maxwell-Chern-Simons-Higgs theory
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)We consider the three dimensional electrodynamics described by a complex scalar field coupled with the U(1) gauge field in the presence of a Maxwell term, a Chern-Simons term and the Higgs potential. The Chern-Simons term ... -
Modified Korteweg-de Vries equation as a system with benign ghosts
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)We consider the modified Korteweg-de Vries equation, uxxx + 6u2ux + ut = 0, and explore its dynamics in spatial direction. Higher x derivatives bring about the ghosts. We argue that these ghosts are benign, i.e., the ... -
On generalized Heun equation with some mathematical properties
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)We study the analytic solutions of the generalized Heun equation, (α0 + α1 r + α2 r2 + α3 r3) y′′ + (β0 + β1 r + β2 r2) y′ + (ε0 + ε1 r) y = 0, where |α3| + |β2|≠ 0, and {αi}3i=0, {βi}2i=0, {εi}1i=0 are real parameters. ... -
On some algebraic formulations within universal enveloping algebras related to superintegrability
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)We report on some recent purely algebraic approaches to superintegrable systems from the perspective of subspaces of commuting polynomials in the enveloping algebras of Lie algebras that generate quadratic (and eventually ... -
On the Wess-Zumino Model: a supersymmetric field theory
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)We consider the free massless Wess-Zumino Model in 4D which describes a supersymmetric field theory that is invariant under the rigid or global supersymmetry transformations where the transformation parameter ϵ (or ϵ ) ... -
Orthonormal polynomial projection quantization: an algebraic eigenenergy bounding method
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)The ability to generate tight eigenenergy bounds for low dimension bosonic or ferminonic, hermitian or non-hermitian, Schrödinger operator problems is an important objective in the computation of quantum systems. Very few ... -
Photonic graphene under strain with position-dependent gain and loss
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)We work with photonic graphene lattices under strain with gain and loss, modeled by the Dirac equation with an imaginary mass term. To construct such Hamiltonians and their solutions, we use the free-particle Dirac equation ... -
Quantization of rationally deformed Morse potentials by Wronskian transforms of Romanovski-Bessel polynomials
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)The paper advances Odake and Sasaki’s idea to re-write eigenfunctions of rationally deformed Morse potentials in terms of Wronskians of Laguerre polynomials in the reciprocal argument. It is shown that the constructed ... -
Quantum description of angles in the plane
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)The real plane with its set of orientations or angles in [0, π) is the simplest non trivial example of a (projective) Hilbert space and provides nice illustrations of quantum formalism. We present some of them, namely ... -
Rational extension of many particle systems
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)In this talk, we briefly review the rational extension of many particle systems, and is based on a couple of our recent works. In the first model, the rational extension of the truncated Calogero-Sutherland (TCS) model is ... -
Swanson Hamiltonian revisited through the complex scaling method
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)In this work, we study the non-hermitian PT-symmetry Swanson Hamiltonian in the framework of the Complex Scaling Method. We show that by applying this method we can work with eigenfunctions that are square-integrable both ... -
Time-dependent mass oscillators: constants of motion and semiclasical states
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)This work reports the construction of constants of motion for a family of time-dependent mass oscillators, achieved by implementing the formalism of form-preserving point transformations. The latter allows obtaining a ... -
Time-dependent step-like potential with a freezable bound state in the continuum
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)In this work, we construct a time-dependent step-like potential supporting a normalizable state with energy embedded in the continuum. The potential is allowed to evolve until a stopping time ti, where it becomes static. ...