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Mathematical Physics
, 2005
"... Abstract. Following Ehrenfest’s approach, the problem of quantumclassical correspondence can be treated in the class of trajectorycoherent functions that approximate as �→0aquantummechanical state. This idea leads to a family of systems of ordinary differential equations, called Ehrenfest Msyste ..."
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Abstract. Following Ehrenfest’s approach, the problem of quantumclassical correspondence can be treated in the class of trajectorycoherent functions that approximate as �→0aquantummechanical state. This idea leads to a family of systems of ordinary differential equations, called Ehrenfest Msystems (M = 0,1, 2,...), formally equivalent to the semiclassical approximation for the linear Schrödinger equation [23, 14]. In this paper a similar approach is undertaken for a nonlinear Hartreetype equation with a smooth integral kernel. It is demonstrated how quantum characteristics can be retrieved directly from the corresponding Ehrenfest systems, without solving the quantum equation: the semiclassical asymptotics for the spectrum are obtained from the rest point solution. One of the key steps is derivation of a modified nonlinear superposition principle valid in the class of trajectorycoherent quantum states.
for Mathematical Physics
, 2007
"... The nearby orbit method is a powerful tool for constructing semiclassical solutions of Schrödinger’s equation when the initial datum is a coherent state. In this paper we first extend this method to arbitrary squeezed states and thereafter apply our results to the Schrödinger equation in phase space ..."
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The nearby orbit method is a powerful tool for constructing semiclassical solutions of Schrödinger’s equation when the initial datum is a coherent state. In this paper we first extend this method to arbitrary squeezed states and thereafter apply our results to the Schrödinger equation in phase space. This adaptation requires the phasespace Weyl calculus developed in previous work of ours. We also study the regularity of the semiclassical solutions from the point of view of the Feichtinger algebra familiar from the theory of modulation spaces.
mathematical physics
, 2015
"... Electronic supplementary material is available On the problem of boundaries and scaling for urban street networksat ..."
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Electronic supplementary material is available On the problem of boundaries and scaling for urban street networksat
Mathematical Physics,
, 1729
"... editor[AT]ejtp.info Email: ignazio.licata[AT]ejtp.info ignazio.licata[AT]ixtucyber.org CoEditors José Luis Lo�pezBonilla Special and General Relativity, Electrodynamics of classical charged particles, ..."
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editor[AT]ejtp.info Email: ignazio.licata[AT]ejtp.info ignazio.licata[AT]ixtucyber.org CoEditors José Luis Lo�pezBonilla Special and General Relativity, Electrodynamics of classical charged particles,
ADELES IN MATHEMATICAL PHYSICS
, 707
"... on the occasion of his 60th birthday Application of adeles in modern mathematical physics is briefly reviewed. In particular, some adelic products are presented. ..."
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on the occasion of his 60th birthday Application of adeles in modern mathematical physics is briefly reviewed. In particular, some adelic products are presented.
Double Categories in Mathematical Physics
, 2008
"... Expansion of the categorical point of view on many areas of the mathematics and mathematical physics will cause to deeper understanding of genuine features of these problems. New applications of categorical methods are connected with new additional structures on ..."
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Expansion of the categorical point of view on many areas of the mathematics and mathematical physics will cause to deeper understanding of genuine features of these problems. New applications of categorical methods are connected with new additional structures on
Results 1  10
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