Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator
نویسندگان
چکیده
منابع مشابه
Quartic Anharmonic Oscillator And Random Matrix Theory
In this paper the relationship between the problem of constructing the ground state energy for the quantum quartic oscillator and the problem of computing mean eigenvalue of large positively de nite random hermitean matrices is established. This relationship enables one to present several more or less closed expressions for the oscillator energy. One of such expressions is given in the form of ...
متن کاملQuartic Anharmonic Oscillator and Random Matrix Theory
3 Abstract In this paper the relationship between the problem of constructing the ground state energy for the quantum quartic oscillator and the problem of computing mean eigenvalue of large positively deenite random hermitean matrices is established. This relationship enables one to present several more or less closed expressions for the oscillator energy. One of such expressions is given in t...
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Conventional weak-coupling perturbation theory suffers from problems that arise from resonant coupling of successive orders in the perturbation series. Multiple-scale perturbation theory avoids such problems by implicitly performing an infinite reordering and resummation of the conventional perturbation series. Multiple-scale analysis provides a good description of the classical anharmonic osci...
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We generalize a proposal for detecting single-phonon transitions in a single nanoelectromechanical system (NEMS) to include the intrinsic anharmonicity of each mechanical oscillator. In this scheme two NEMS oscillators are coupled via a term quadratic in the amplitude of oscillation for each oscillator. One NEMS oscillator is driven and strongly damped and becomes a transducer for phonon number...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2015
ISSN: 0003-4916
DOI: 10.1016/j.aop.2015.02.029