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Effects of Intense Laser Field on Electronic and Optical Properties of Harmonic and Variable Degree Anharmonic Oscillators [PDF]
Nanomaterials, 2022 In this paper, we calculated the electronic and optical properties of the harmonic oscillator and single and double anharmonic oscillators, including higher-order anharmonic terms such as the quartic and sextic under the non-resonant intense laser field.
Melike Behiye Yücel +2 more
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Quartic anharmonic many-body oscillator [PDF]
, 2004 Two quantum quartic anharmonic many-body oscillators are introduced. One of them is the celebrated Calogero model (rational $A_n$ model) modified by quartic anharmonic two-body interactions which support the same symmetry as the Calogero model.
Turbiner, Alexander V.
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Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We study the eigenvalue problem −u''+V(z)u=λu in the complex plane with the boundary condition that u(z) decays to zero as z tends to infinity along the two rays arg z=−π/2± 2π(m+2), where V(z)=−(iz)^m−P(iz) for complex-valued polynomials P of degree at ...
Kwang C. Shin
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Strange waves in the ensemble of van der Pol oscillators [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2020 The purpose of this paper is to study the processes of spatial disorder and the development of phase multistability in a discrete medium of anharmonic oscillators. Methods.
Shabunin, Aleksej Vladimirovich
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Quantum Anharmonic Oscillators: A Truncated Matrix Approach
Positron, 2021 This study aims at implementing a truncated matrix approach based on harmonic oscillator eigenfunctions to calculate energy eigenvalues of anharmonic oscillators containing quadratic, quartic, sextic, octic, and decic anharmonicities. The accuracy of the
Redi Kristian Pingak +3 more
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$L^p$-$L^q$ Boundedness of Spectral Multipliers of the Anharmonic Oscillator
Comptes Rendus. Mathématique, 2022 In this note we study the $L^p-L^q$ boundedness of Fourier multipliers of anharmonic oscillators, and as a consequence also of spectral multipliers, for the range ...
Chatzakou, Marianna, Kumar, Vishvesh
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ASM Science Journal, 2022 This work is aimed at obtaining the energy eigenvalues for one-dimensional quantum harmonic and anharmonic oscillators perturbed by linear, quadratic, cubic and polynomial potentials.
B.I Madububa +4 more
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Journal of Low Frequency Noise, Vibration and Active Control, 2022 This paper uses the two-scale fractal dimension transform and He’s formula derived from the ancient Chinese algorithm Ying Bu Zu Shu to find the approximate frequency–amplitude expression of the fractal and forced anharmonic oscillator that can be used ...
Alex Elías-Zúñiga +3 more
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Point Charge Subject to an Attractive Inverse-Square-Type Potential and Anharmonic-Type Potentials
Universe, 2023 By applying the WKB (Wentzel, Kramers, Brillouin) approximation, we search for bound state solutions to the time-independent Schrödinger equation for an attractive inverse-square potential and anharmonic oscillators that stem from the interaction of a ...
Jardel de Carvalho Veloso, Knut Bakke
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Anharmonic oscillator: a solution [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 It is shown that for the one-dimensional quantum anharmonic oscillator with potential $V(x)= x^2+g^2 x^4$ the Perturbation Theory (PT) in powers of $g^2$ (weak coupling regime) and the semiclassical expansion in powers of $\hbar$ for energies coincide. It is related to the fact that the dynamics in $x$-space and in $(gx)$-space corresponds to the same ...
Alexander V Turbiner, J C del Valle
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