منابع مشابه
Exact description of spectral correlators by a quantum one-dimensional model with inverse-square interaction.
The universal correlations which describe the response of energy levels of a disordered metallic grain to an arbitrary perturbation are shown to be equivalent to time-dependent correlations of a one-dimensional quantum Hamil-tonian with inverse-square interaction. These results establish a direct connection between a strongly interacting quantum Hamiltonian, the non-linear-model of disordered e...
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We examine the quantization of a harmonic oscillator with inverse square potential V (x) = (mω/2)x + g/x on the line −∞ < x < ∞. We find that, for 0 < g < 3h̄/(8m), the system admits a U(2) family of inequivalent quantizations allowing for quantum tunneling through the infinite potential barrier at x = 0. These are a generalization of the conventional quantization applied to the Calogero model i...
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Inverse square roots are used in several digital signal processing, multimedia, and scientific computing applications. This paper presents a high-speed method for computing inverse square roots. This method uses a table lookup, operand modification, and multiplication to obtain an initial approximation to the inverse square root. This is followed by a modified Newton-Raphson iteration, consisti...
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We review recent experimental tests of the gravitational inverse-square law and the wide variety of theoretical considerations that suggest the law may break down in experimentally accessible regions.
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The ith row of A represents a ±1-valued “square wave” function of j with halfperiod i. Thus xA, where x is a (row) N -vector, gives a picture of the waveform that is a linear combination of square waves with weights in x. Similarly yA finds weights so that a given waveform y is a weighted linear combination of these square waves. This matrix has a surprisingly simple inverse. More generally, we...
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2003
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s021773230301257x