QUARTIC ANHARMONIC OSCILLATOR AND RANDOM MATRIX THEORY
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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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 definite 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...
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To lowest order of perturbation theory we show that an equivalence can be established between a PT -symmetric generalized quartic anharmonic oscillator model and a Hermitian position-dependent mass Hamiltonian h. An important feature of h is that it reveals a domain of couplings where the quartic potential could be attractive, vanishing or repulsive. We also determine the associated physical qu...
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As it is well known, only a very limited number of one-dimensional potentials allow for an exact solution of the Schrödinger equation. This means that for many model potentials we must resort to numerical solution methods. For judging their accuracy, reliability, and speed, it is important to have high-precision values of certain nonexactly solvable potentials. The most investigated of such pot...
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 1996
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s021773239600014x