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  • Orthonormal polynomial projection quantization: an algebraic eigenenergy bounding method 

    Author: Handy, Carlos R.
    (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 ...
  • Linearised coherent states for non-rational SUSY extensions of the harmonic oscillator 

    Author: Contreras-Astorga, Alonso; Fernández C., David J.; Muro-Cabral, César
    (České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)
    In this work, we derive two equivalent non-rational extensions of the quantum harmonic oscillator using two different supersymmetric transformations. For these extensions, we built ladder operators as the product of the ...
  • Generalized three-body harmonic oscillator system: ground state 

    Author: Escobar-Ruiz, Adrian M.; Montoya, Fidel
    (České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)
    In this work we report on a 3-body system in a d−dimensional space ℝd with a quadratic harmonic potential in the relative distances rij = |ri −rj| between particles. Our study considers unequal masses, different spring ...
  • Time-dependent mass oscillators: constants of motion and semiclasical states 

    Author: Zelaya, Kevin
    (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 ...
  • Photonic graphene under strain with position-dependent gain and loss 

    Author: Castillo-Celeita, Miguel; Contreras-Astorga, Alonso; Fernández C., David J.
    (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 ...
  • From quartic anharmonic oscillator to double well potential 

    Author: Turbiner, Alexander V.; del Valle, Juan Carlos
    (České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)
    Quantum quartic single-well anharmonic oscillator Vao(x) = x2 + g2x4 and double-well anharmonic oscillator Vdw(x) = x2(1−gx)2 are essentially one-parametric, they depend on a combination (g2ℏ). Hence, these problems are ...
  • Time-dependent step-like potential with a freezable bound state in the continuum 

    Author: Gutiérrez Altamirano, Izamar; Contreras-Astorga, Alonso; Raya Montaño , Alfredo
    (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. ...
  • About the time evolution of coherent electron states in monolayers of boron allotropes 

    Author: Díaz-Bautista, Erik
    (České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)
    In this paper, we theoretically analyze the massless Dirac fermion dynamics in twodimensional monolayers of boron allotropes, 8B and 2BH − pmmn borophene, interacting with external electric and magnetic fields. We study ...
  • Modified Korteweg-de Vries equation as a system with benign ghosts 

    Author: Smilga, Andrei
    (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 ...
  • Quantization of rationally deformed Morse potentials by Wronskian transforms of Romanovski-Bessel polynomials 

    Author: Natanson, Gregory
    (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 ...
  • On some algebraic formulations within universal enveloping algebras related to superintegrability 

    Author: Campoamor-Stursberg, Rutwig
    (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 ...
  • A note on entanglement classification for tripartite mixed states 

    Author: Zhao, Hui; Liu, Yu-Qiu; Wang, Zhi-Xi; Fei, Shao-Ming
    (České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)
    We study the classification of entanglement in tripartite systems by using Bell-type inequalities and principal basis. By using Bell  unctions and the generalized three dimensional Pauli operators, we present a set of Bell ...
  • On generalized Heun equation with some mathematical properties 

    Author: Saad, Nasser
    (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. ...
  • Maxwell-Chern-Simons-Higgs theory 

    Author: Kulshreshtha, Usha; Kulshreshtha, Daya Shankar; Sihagb, Bheemraj
    (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 ...
  • On the Wess-Zumino Model: a supersymmetric field theory 

    Author: Kulshreshtha, Daya Shankar; Kulshreshtha, Usha
    (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 ) ...
  • Swanson Hamiltonian revisited through the complex scaling method 

    Author: Reboiro, Marta; Ramírez, Romina; Fernández, Viviano
    (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 ...
  • Complex topological soliton with real energy in particle physics 

    Author: Taira, Takanobu
    (České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)
    We summarise the procedure used to find the classical masses of Higgs particle, massive gauge boson and t’Hooft-Polyakov monopole in non-Hermitian gauge field theory. Their physical regions are explored, and the mechanism ...
  • Conserved quantities in non-hermitian systems via vectorization method 

    Author: Agarwal, Kaustubh S.; Muldoon, Jacob; Joglekar, Yogesh N.
    (České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)
    Open classical and quantum systems have attracted great interest in the past two decades. These include systems described by non-Hermitian Hamiltonians with parity-time (PT) symmetry that are best understood as systems ...
  • How to understand the structure of beta functions in six-derivative Quantum Gravity? 

    Author: Rachwał, Lesław
    (České vysoké učení technické v PrazeCzech Technical University in Prague, 2022)
    We extensively motivate the studies of higher-derivative gravities, and in particular we emphasize which new quantum features theories with six derivatives in their definitions possess. Next, we discuss the mathematical ...
  • Rational extension of many particle systems 

    Author: Mandal, Bhabani Prasad
    (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 ...

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