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1.
The convergent iterative procedure for solving the groundstate Schr?dinger
equation is extended to derive the excitation energy and the wavefunction of the
low-lying excited states. The method is applied to the one-dimensional quartic
potential problem. The results show that the iterative solution converges rapidly
when the coupling g is not too small. 相似文献
2.
3.
Hydrides of PdAx alloys prepared by electron beam co-evaporation and subsequent implantation of hydrogen ions are found to exhibit anomalous changes in the superconducting transition temperature with increasing A content. At large hydrogen concentrations, H/Pd ~ 1, the addition of aluminum increases Tc only slightly (from 8.1 to 8.6°K for 7 at. % A), and then yields an abrupt decrease in Tc at 10% A. This behavior is in sharp contrast to PdAgxHy alloys which exhibit an enhanced Tc ~ 16°K at relatively low silver content. 相似文献
4.
Richard Friedberg 《Physics letters. A》2008,372(23):4164-4176
We compute the eigenmodes of collective emission from multi-slice slab configurations, using the transfer matrix formalism. We elucidate within this formalism the phenomena of “Invisible Gaps” in multiple-slice configuration and of “Precocious Superradiance” in periodic structures previously observed in numerical solutions of Maxwell-Bloch equations. 相似文献
5.
Richard Friedberg 《Physics letters. A》2008,372(14):2514-2521
We find eigenmodes of an integral equation describing N 2-level atoms interacting with a scalar field, one atom being initially excited. Neglect of virtual field quanta would replace the correct kernel by its real part. This has serious consequences both for small and large samples. 相似文献
6.
7.
We present a new and simpler proof for the convergent iterative solution of the one-dimensional degenerate double-well potential. This new proof depends on a general theorem, called the hierarchy theorem, that shows the successive stages in the iteration to form a monotonically increasing sequence of approximations to the energy and to the wavefunction at any point x. This important property makes possible a much simpler proof of convergence than the one given before in the literature. The hierarchy theorem proven in this paper is applicable to a much wider class of potentials which includes the quartic potential. 相似文献
8.
Inventiones mathematicae - 相似文献
9.
Solomon Friedberg 《Journal of Number Theory》1985,20(2):121-127
A short proof is given that the theta functional is invariant under the Weil representation, and the explicit determination of the eighth root of unity which arises is also shown. Namely, the action of the Weil representation on the theta functional is described as the limit of integration against a specialization of the symplectic theta function as the symplectic variable approaches a cusp. The invariance is then a consequence of the automorphic nature of this theta function, coupled with the fact that in the limit it acts as the reproducing kernel for a certain lattice. Using results of Stark and Styer, this also allows one to determine the root of unity involved. 相似文献
10.