Results 91 to 100 of about 17,102 (215)
The 1/N Expansion in Noncommutative Quantum Mechanics
, 2010 We study the 1/N expansion in noncommutative quantum mechanics for the anharmonic and Coulombian potentials. The expansion for the anharmonic oscillator presented good convergence properties, but for the Coulombian potential, we found a divergent large N
A. F. Ferrari +7 more
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Root Asymptotics of Spectral Polynomials
Acta Polytechnica, 2007 We have been studying the asymptotic energy distribution of the algebraic part of the spectrum of the one-dimensional sextic anharmonic oscillator. We review some (both old and recent) results on the multiparameter spectral problem and show that our ...
B. Shapiro, M. Tater
doaj
Tunable anharmonicity in cavity optomechanics in the unresolved sideband regime
SciPost PhysicsIntroducing a controlled and strong anharmonicity in mechanical systems is a present challenge of nanomechanics. In cavity optomechanics a mechanical oscillator may be made anharmonic by ponderomotively coupling its motion to the light field of a laser ...
Jonathan L. Wise, Clement Dutreix, Fabio Pistolesi
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Perturbation analysis of trapped-particle dynamics in axisymmetric dipole geometry
, 2010 The perturbation analysis of the bounce action-angle coordinates $(J,\zeta)$ for charged particles trapped in an axisymmetric dipole magnetic field is presented.
A. J. Brizard +5 more
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Tunneling with physics-informed RG flows in the anharmonic oscillator
SciPost Physics CoreWe solve the anharmonic oscillator using physics-informed renormalisation group (PIRG) flows, focusing on the weak coupling regime dominated by instanton-induced tunnelling processes.
Alfio Bonanno, Friederike Ihssen, Jan M. Pawlowski
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New DNLS Equations for Anharmonic Vibrational Impurities
, 2002 We examine some new DNLS-like equations that arise when considering strongly-coupled electron-vibration systems, where the local oscillator potential is anharmonic.
Chen D., M. I. MOLINA
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Wigner expansions for partition functions of nonrelativistic and relativistic oscillator systems [PDF]
The equilibrium quantum statistics of various anharmonic oscillator systems including relativistic systems is considered within the Wigner phase space formalism.
Vojta, Guenter, Zylka, Christian
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A new quasi-exactly solvable problem and its connection with an anharmonic oscillator
, 2010 The two-dimensional hydrogen with a linear potential in a magnetic field is solved by two different methods. Furthermore the connection between the model and an anharmonic oscillator had been investigated by methods of KS ...
Chen Jing-Ling +4 more
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Nonlinear (Anharmonic) Casimir Oscillator
, 2014 We want to study the dynamics of a simple linear harmonic micro spring which is under the influence of the quantum Casimir force/pressure and thus behaves as a (an) nonlinear (anharmonic) Casimir oscillator. Generally,the equation of motion of this nonlinear micromechanical Casimir oscillator has no exact solvable (analytical)solution and the turning ...
Razmi, Habibollah +3 more
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Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry
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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