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A new conjecture for obtaining the energy spectra of the wave equations under solvable potentials
In this paper, we proposed a new method for obtaining the energy of a particle which can be described by the wave equations under a solvable...
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Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method
Thermodynamic properties of heavy mesons are calculated within the framework of the N -dimensional radial Schrödinger equation. The Cornell potential...
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Bound state solutions and thermodynamic properties of modified exponential screened plus Yukawa potential
In this research paper, the approximate bound state solutions and thermodynamic properties of Schrӧdinger equation with modified exponential screened...
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On the Complex Difference Equation of Hypergeometric Type on Non-uniform Lattices
In this article, we obtain a new fundamental theorems for Nikiforov–Uvarov–Suslov complex difference equation of hypergeometric type by the method of...
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Manning-Rosen Potential with Position Dependent Mass in Quantum Mechanics via LTM
Schrödinger equation within the framework of position-dependent mass for Manning-Rosen potential is studied with the help of Laplace transform method...
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Exact Solutions of the Schrödinger Equation for a Radial Generalized Cornell Plus an Extended Double Ring-Shaped Potential
In this work, we solve the Schrödinger equation for the generalized Cornell potential plus an extended ring-shaped potential in the framework of...
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Theoretic impetuses and lengths of Feinberg–Horodecki equation
The exact solution of the Feinberg–Horodecki equation for time-dependent harmonic vector potential has been investigated under a one-dimensional...
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Carleman’s Formula for Solutions of Generalized Cauchy–Riemann Systems in Multidimensional Spatial Domains
In this paper, we consider the restoration problem for solutions of the generalized Cauchy–Riemann system in a multidimensional spatial domain, using...
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Non-commutative phase–space of Schrödinger equation in the background of ISMK-CYP model: spectrum and thermodynamic properties
Within the framework of non-relativistic non-commutative phase–space, the new bound state approximate solution of the deformed Schrödinger equation...
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Holtsmark Fluctuations of Nonstationary Gravitational Fields
We construct Holtsmark distributions of nonstationary fluctuations of the local interactions of moving objects for a system in which the action of...
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Discrete Semiclassical Orthogonal Polynomials of Class 2
In this contribution, discrete semiclassical orthogonal polynomials of class s ≤ 2 are studied. By considering all possible solutions of the Pearson...
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On Qualitative Properties of Sign-Constant Solutions of Some Quasilinear Parabolic Problems
We study the Cauchy problem for quasilinear parabolic inequalities containing squares of the first derivatives of an unknown function (the so-called...
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Classical Solutions of the Equation of Local Fluctuations of Riesz Gravitational Fields and their Properties
We consider a pseudodifferential equation involving the Riesz operator of fractional differentiation, which is a natural generalization of the...
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An Introduction to Special Functions with Some Applications to Quantum Mechanics
A short review on special functions and solution of the Coulomb problems in quantum mechanics is given. Multiparameter wave functions of linear...
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Generalization of Resonant Equations for the Laguerre- and Legendre-Type Polynomials to Equations of the Fourth Order
A recurrence algorithm for finding particular solutions of the resonant equation of the fourth order connected with the generalization of Laguerre...
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Resonant Equations with Classical Orthogonal Polynomials. I
We study some resonant equations related to the classical orthogonal polynomials and propose an algorithm for finding their particular and general...
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The Spectrum and Trace Formula for Bounded Perturbations of Differential Operators
Spectrum properties and a method for deriving a regularized trace formula for perturbations of operators with discrete spectra in a separable Hilbert...
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Resonant Equations with Classical Orthogonal Polynomials. II
We study some resonant equations related to the classical orthogonal polynomials on infinite intervals, i.e., the Hermite and the Laguerre orthogonal...
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Existence of an Infinite Spectrum of Damped Leaky TE Waves in an Open Inhomogeneous Cylindrical Metal–Dielectric Waveguide
We consider the problem about leaky waves in an inhomogeneous waveguide structure. This problem is reduced to a boundary value problem for the...
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Spectrum and a Trace Formula for a Compactly Supported Perturbation of the 2D Harmonic Oscillator in a Strip
The spectrum of a “distorted” two-dimensional harmonic oscillator in a strip is studied. We prove a spectrum localization theorem and obtain a...