The quartic anharmonic oscillator - an oscillator-basis expansion approach. I. Energy levels study and calculation [PDF]
Ядерна фізика та енергетикаFor the quantum quartic anharmonic oscillator with the Hamiltonian H=0.5(p2+x2)+λx4 which is one of the classic traditional quantum-mechanical and quantum-field-theory models, its main physical characteristics and properties are thoroughly studied and ...
V. A. Babenko, A. V. Nesterov
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Quantum mechanical out-of-time-ordered-correlators for the anharmonic (quartic) oscillator
Journal of High Energy Physics, 2021 Out-of-time-ordered correlators (OTOCs) have been suggested as a means to study quantum chaotic behavior in various systems. In this work, I calculate OTOCs for the quantum mechanical anharmonic oscillator with quartic potential, which is classically ...
Paul Romatschke
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Variational perturbation expansion for strong-coupling coefficients of the anharmonic oscillator [PDF]
, 1995 As an application of a recently developed variational perturbation theory we find the first 22 terms of the convergent strong-coupling series expansion for the ground state energy of the quartic anharmonic ...
Janke, W., Kleinert, H.
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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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Journal of Mathematical Analysis and Applications, 1983 AbstractThe anharmonic oscillator is solved quickly, easily, and elegantly by Adomian's methods for solution of nonlinear stochastic differential equations emphasizing its applicability to nonlinear deterministic equations as well as stochastic equations.
Adomian, G., Rach, R.
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Multiple-Scale Analysis of the Quantum Anharmonic Oscillator [PDF]
, 1996 Conventional weak-coupling perturbation theory suffers from problems that arise from resonant coupling of successive orders in the perturbation series.
A. H. Nayfeh +11 more
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The Optomechanical Response of a Cubic Anharmonic Oscillator
Applied Sciences, 2020 The nonlinearity of a mechanical oscillator may lead to the generation of the macroscopic quantum states, which are useful for precision measurement. Measuring the nonlinearity of a mechanical oscillator becomes important in order to effectively assess ...
Sumei Huang, Hongmiao Hao, Aixi Chen
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Infrared Spectroscopy as a Promising Tool for Diagnosing and Typing Human Pathogenic Fungi. [PDF]
MycosesABSTRACT Fungal infections are increasingly recognised as a global health challenge, responsible for millions of cases annually and substantial mortality, especially in immunocompromised individuals. Yet, the diagnosis of these infections remains notoriously difficult, often delayed by slow culture‐based methods or hindered by the high cost and ...
Medeiros AGJ +8 more
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Classical Chaos in a Driven One-Dimensional Quartic Anharmonic Oscillator
ComputationIn this work, we investigate the transition from regular dynamics to chaotic behavior in a one-dimensional quartic anharmonic classical oscillator driven by a time-dependent external square-wave force.
Yun-Hsi Lin, Jeng-Da Chai
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Doubly anharmonic oscillator under the topological effects of a screw dislocation
, 2017 We consider an elastic medium with the distortion of a circular curve into a vertical spiral, and investigate the influence of this topological defect on the doubly anharmonic oscillator.
Bakke, Knut
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