منابع مشابه
Quantizing the Toda lattice
In this work we study the quantum Toda lattice, developing the asymptotic Bethe ansatz method first used by Sutherland. Despite its known limitations we find, on comparing with Gutzwiller’s exact method, that it works well in this particular problem and in fact becomes exact as \ grows large. We calculate ground state and excitation energies for finite-sized lattices, identify excitations as ph...
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We consider the Fermi quantization of the classical damped harmonic oscillator (dho). In past work on the subject, authors double the phase space of the dho in order to close the system at each moment in time. For an infinite-dimensional phase space, this method requires one to construct a representation of the CAR algebra for each time. We show that unitary dilation of the contraction semigrou...
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It is generally believed that the following is true: the classical gravitational field of a sufficiently massive star will overcome its neutron degeneracy pressure and, barring quantum gravitational effects in the final stages of collapse, the star will form a singularity of space-time. The initial conditions determine the precise nature of the singularity of the collapse: either the singularit...
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tions for the maximum likelihood estimate of the random function, W(t), which was previously obtained by Youla follows.” There also results another system of equations determining that estimate of the random function W(t) which is equivalent to Youla’s system of equations. The general method discussed in the preceding section also yields the solution of many other problems of optimum system the...
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We consider quantum mechanics on constrained surfaces which have non-Euclidean metrics and variable Gaussian curvature. The old controversy about the ambiguities involving terms in the Hamiltonian of order \ multiplying the Gaussian curvature is addressed. We set out to clarify the matter by considering constraints to be the limits of large restoring forces as the constraint coordinates deviate...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2021
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.103.065004