Search Results - "Lévai, Géza"
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Potentials from the Polynomial Solutions of the Confluent Heun Equation
Published in Symmetry (Basel) (01-02-2023)“…Polynomial solutions of the confluent Heun differential equation (CHE) are derived by identifying conditions under which the infinite power series expansions…”
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2
PT -Symmetric Potentials from the Confluent Heun Equation
Published in Entropy (Basel, Switzerland) (03-01-2021)“…We derive exactly solvable potentials from the formal solutions of the confluent Heun equation and determine conditions under which the potentials possess PT…”
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3
PT Symmetry in Natanzon-class Potentials
Published in International journal of theoretical physics (24-08-2015)“…The conditions under which P T symmetry can be applied to the general six-parameter Natanzon potential class are investigated. For this the transformation of…”
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4
Nuclear Shape-Phase Transitions and the Sextic Oscillator
Published in Symmetry (Basel) (01-11-2023)“…This review delves into the utilization of a sextic oscillator within the β degree of freedom of the Bohr Hamiltonian to elucidate critical-point solutions in…”
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5
Unified Supersymmetric Description of Shape-Invariant Potentials within and beyond the Natanzon Class
Published in Symmetry (Basel) (01-02-2024)“…The transformations of supersymmetric quantum mechanics are discussed within a formalism that employs a six-parameter function, from which the superpotential…”
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6
Orbital Regularity of Exoplanets and the Symmetries of the Kepler Problem
Published in Symmetry (Basel) (01-12-2023)“…We investigate the question whether or not the orbitals of exoplanets follow the symmetry-governed sequence found by Barut from the dynamical group of the…”
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7
Schrödinger equations with indefinite effective mass
Published in Physics letters. A (01-10-2012)Get full text
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8
Three Solvable Matrix Models of a Quantum Catastrophe
Published in International journal of theoretical physics (01-09-2014)“…Three classes of finite-dimensional models of quantum systems exhibiting spectral degeneracies called quantum catastrophes are described in detail…”
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ON THE COMMON LIMIT OF THE PT-SYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS
Published in Acta polytechnica (Prague, Czech Republic : 1992) (01-01-2017)“…Two PT-symmetric potentials are compared, which possess asymptotically finite imaginary components: the PT-symmetric Rosen-Morse II and the finite PT-symmetric…”
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10
Asymptotically vanishing PT -symmetric potentials and negative-mass Schrödinger equations
Published in Physics letters. A (11-05-2009)“…In paper I [M. Znojil, G. Lévai, Phys. Lett. A 271 (2000) 327] we introduced the Coulomb–Kratzer bound-state problem in its crypto-Hermitian, PT -symmetric…”
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11
P T ${\mathcal {PT}}$ Symmetry in Natanzon-class Potentials
Published in International journal of theoretical physics (01-08-2015)Get full text
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12
Asymptotic Properties of Solvable $\mathcal{PT}$ -Symmetric Potentials
Published in International journal of theoretical physics (01-04-2011)Get full text
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Asymptotic Properties of Solvable -Symmetric Potentials
Published in International journal of theoretical physics (2011)“…The asymptotic region of potentials has strong impact on their general properties. This problem is especially interesting for -symmetric potentials, the real…”
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14
Nuclear Physics in Atomki in the 21st Century
Published in Nuclear physics news (02-10-2015)“…Some twenty minutes' walk from the center of Debrecen, Hungary's second largest city, there stands a complex of three two-storeyed red-brick buildings…”
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15
Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations
Published in Physics letters. A (01-05-2009)Get full text
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16
Supersymmetry Without Hermiticity
Published in Czechoslovak journal of physics (01-10-2004)Get full text
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The Coulomb – harmonic oscillator correspondence in [formula omitted] symmetric quantum mechanics
Published in Physics letters. A (01-07-2000)“…We show that and how the Coulomb potential V(x)=Z e 2/x can be regularized and solved exactly at the imaginary coupling Z e 2 . The new spectrum of energies is…”
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18
Exact Analytic Study of the PT-Symmetry-Breaking Mechanism
Published in Czechoslovak journal of physics (01-01-2004)Get full text
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19
Conditionally exactly solvable potentials and supersymmetric transformations
Published in Physics letters. A (20-12-1999)“…A general procedure is presented to construct conditionally exactly solvable (CES) potentials using the techniques of supersymmetric quantum mechanics. The…”
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Schroedinger equations with indefinite effective mass
Published 14-08-2012“…Phys. Lett. A 376 (2012) 3000 - 3005 The consistency of the concept of quantum (quasi)particles possessing effective mass which is both position- and…”
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