共查询到20条相似文献,搜索用时 62 毫秒
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《Physics letters. A》2020,384(13):126265
The exact solvability and impressive pedagogical implementation of the harmonic oscillator's creation and annihilation operators make it a problem of great physical relevance and the most fundamental one in quantum mechanics. So would be the position-dependent mass (PDM) oscillator for the PDM quantum mechanics. We, hereby, construct the PDM creation and annihilation operators for the PDM oscillator via two different approaches. First, via von Roos PDM Hamiltonian and show that the commutation relation between the PDM creation and annihilation operators, , not only offers a unique PDM-Hamiltonian but also suggests a PDM-deformation in the coordinate system. Next, we use a PDM point canonical transformation of the textbook constant mass harmonic oscillator analog and obtain yet another set of PDM creation and annihilation operators, hence an “apparently new” PDM-Hamiltonian is obtained. The “new” PDM-Hamiltonian turned out to be not only correlated with but also represents an alternative and most simplistic user-friendly PDM-Hamiltonian, ; , that has never been reported before. 相似文献
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《Physics letters. A》2019,383(22):2652-2657
The equilibrated grain boundary groove shape of solid Al in equilibrium with Al-Sn-Mg eutectic liquid was observed by using a Bridgman type directional solidification apparatus. The ratio of the thermal conductivity of the equilibrated liquid to the thermal conductivity of solid Al has been obtained as 0.91. In addition, the average Gibbs-Thomson coefficient, , the solid-liquid interfacial energy, and the grain boundary energy, , in the Al/Al-Sn-Mg system have been calculated from the measured grain boundary shapes. 相似文献
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《Physics letters. A》2020,384(36):126930
We consider quantum bosons with contact interactions at the Lowest Landau Level (LLL) of a two-dimensional isotropic harmonic trap. At linear order in the coupling parameter g, we construct a large, explicit family of quantum states with energies of the form , where and are integers. Any superposition of these states evolves periodically with a period of until, at much longer time scales of order , corrections to the energies of order may become relevant. These quantum states provide a counterpart to the known time-periodic behaviors of the corresponding classical (mean field) theory. 相似文献
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Singly-excited states of the two-electron atom cease being bound when (from above), the outer orbital becoming infinitely diffuse. The asymptotic relations where , are demonstrated to hold. Here, is a hydrogenic s orbital with principal quantum number . New, more nuanced light is shed on the already challenged dogma that the Pauli principle keeps the electrons further apart in the triplet than in the corresponding singlet. 相似文献