杠杆
发表于 2025-3-25 06:51:37
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Motilin
发表于 2025-3-25 09:57:31
978-3-030-70847-4Springer Nature Switzerland AG 2021
MELD
发表于 2025-3-25 12:47:46
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饥荒
发表于 2025-3-25 18:59:08
Quantization and Coherent States on the 2-TorusThe two dimensional torus . is a very simple symplectic space. Nevertheless it gives non trivial examples of chaotic dynamical systems. These systems can be quantized in a natural way. We shall study some dynamical and spectral properties for them.
Iatrogenic
发表于 2025-3-25 20:51:32
,Sensoren zur Erfassung fluidischer Größen,rt space of quantum states (and on quantum operators) as a phase-space translation. Then applying it to a Schwartz class state of arbitrary profile we get a set of generalized coherent states. When we apply the Weyl–Heisenberg translation operator to the ground state of the .-dimensional Harmonic Os
慢慢流出
发表于 2025-3-26 00:45:50
,Sensoren zur Erfassung fluidischer Größen,system is closely related with coherent states. In particular coherent states help to understand the limiting behaviour of a quantum system when the Planck constant . becomes negligible in macroscopic units. This problem is called the semi-classical limit problem. In this chapter we discuss properti
有效
发表于 2025-3-26 05:37:58
Klemens Gintner,Ulrich Schaefernt coefficients. We show that the quantum evolution is exactly solvable in terms of the classical flow which is linear. This allows to construct the metaplectic transformations which are unitary operators in . corresponding to symplectic transformations. Simple examples of such metaplectic transform
没血色
发表于 2025-3-26 09:11:40
Bosch Fachinformation Automobil control in time of the remainder term depending explicitly on . and on the stability matrix of the classical system. We find that the quantum evolved coherent state is in .-norm well approximated by a squeezed state located around the phase-space point . of the classical flow reached at time ., wit
jaunty
发表于 2025-3-26 13:28:45
https://doi.org/10.1007/978-3-8348-2208-6s Planck’s constant goes to zero (the semiclassical régime) with the closed orbits of the corresponding classical mechanical system. Gutzwiller gave a heuristic proof of this trace formula, using the Feynman integral representation for the propagator of .. In mathematics this kind of trace formula w
对待
发表于 2025-3-26 17:32:11
Bosch Fachinformation Automobilare labelled by points on . and allow us to build a quantization of the two-sphere .. They are defined in each finite dimensional space of an irreducible unitary representation of the symmetry rotation group .(3) (or its covering .(2)) of . and give a semiclassical interpretation for the spin. As an