Classical limit analysis of the semiclassical spectral quantization method

1986 ◽  
Vol 84 (4) ◽  
pp. 2233-2238 ◽  
Author(s):  
N. De Leon
2003 ◽  
Vol 81 (4) ◽  
pp. 663-673 ◽  
Author(s):  
A O Bolivar

We have worked out a quantization method directly from classical dynamics without using Hamiltonian and Lagrangian functions; we call it dynamical quantization. The present article compares such a method with the Dirac and Feynman quantization procedures and also verifies the logical consistence of the dynamical quantization calculating the classical limit of a Brownian particle, for example. PACS Nos.: 03.65.–w, 05.30.–d, 05.40.+j, 52.65.Ff


1975 ◽  
Vol 97 (2) ◽  
pp. 90-94 ◽  
Author(s):  
K. N. Lee

Based upon the Morris and Fenves yield criterion for space frameworks, two initial force schemes are presented to analyze the elastoplastic behavior of space frameworks. One is the initial force iterative scheme, which follows the initial stress scheme proposed by Zienkiewicz, et al. The other is a self-equilibrating force scheme, which predicts the next yielding sections and determines the corresponding load increments, deflection and internal forces of the system by solving a set of quadratic equations. Several sample problems are presented. The results show that the load deflection curves obtained by using either scheme are identical. Note that for plane frameworks, element forces and load parameters corresponding to the subsequent yielding sections are identical to those obtained by using the classical limit analysis.


1989 ◽  
Vol 50 (10) ◽  
pp. 1195-1208 ◽  
Author(s):  
A. Spielfiedel ◽  
E. Roueff ◽  
N. Feautrier

1988 ◽  
Vol 49 (11) ◽  
pp. 1911-1923 ◽  
Author(s):  
N. Feautrier ◽  
E. Roueff ◽  
A. Spielfiedel

2012 ◽  
Vol 18 (11) ◽  
pp. 1311-1318
Author(s):  
Hosoon Choi ◽  
Sung-Gul Hong ◽  
Young Hak Lee ◽  
Heecheul Kim ◽  
Dae-Jin Kim

2015 ◽  
Vol 22 (04) ◽  
pp. 1550021 ◽  
Author(s):  
Fabio Benatti ◽  
Laure Gouba

When dealing with the classical limit of two quantum mechanical oscillators on a noncommutative configuration space, the limits corresponding to the removal of configuration-space noncommutativity and position-momentum noncommutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.


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