The Minimum-Uncertainty Squeezed States for for Atoms and Photons in a Cavity

We describe a six-parameter family of the minimum-uncertainty squeezed states for the harmonic oscillator in nonrelativistic quantum mechanics. They are derived by the action of corresponding maximal kinematical invariance group on the standard ground state solution. We show that the product of the variances attains the required minimum value 1/4 only at the instances that one variance is a minimum and the other is a maximum, when the squeezing of one of the variances occurs. The generalized coherent states are explicitly constructed and their Wigner function is studied. The overlap coefficients between the squeezed, or generalized harmonic, and the Fock states are explicitly evaluated in terms of hypergeometric functions. The corresponding photons statistics are discussed and some applications to quantum optics, cavity quantum electrodynamics, and superfocusing in channeling scattering are mentioned. Explicit solutions of the Heisenberg equations for radiation field operators with squeezing are found.Comment: 27 pages, no figures, 174 references J. Phys. B: At. Mol. Opt. Phys., Special Issue celebrating the 20th anniversary of quantum state engineering (R. Blatt, A. Lvovsky, and G. Milburn, Guest Editors), May 201

Mucin-poor mucinous tubular and spindle cell kidney cancer and clear cell renal cell carcinoma: a rare clinical case

Mucinous tubular and spindle cell carcinoma of the kidney is a rare low-grade malignant tumour and accounts for less than 1% of all renal neoplasms. The classic morphological structure of the tumor is represented by three elements: spindle cells, ducts and myxoid or mucinous stroma. This tumor is indolent with a low risk of metastasis and a favorable outcome. However, cases with relapses, metastases to regional lymph nodes, and distant metastases, which were mainly characterised by high nuclear atypia, sarcomatoid transformation and other atypical morphological features are described in the literature. Several cases of mucin-poor and mucin-free mucinous tubular and spindle cell renal cell carcinoma have also been presented, making it difficult to differentiate from other renal cell carcinomas. There are reports of cases of mucin poor mucinous tubular and spindle cell carcinoma, which were accompanied by relapses and metastases. Thus, although the tumour is indolent, careful follow-up is necessary even after radical excision. In this article, we report a rare clinical case of combination of mucin-poor mucinous tubular and spindle cell carcinoma and clear cell renal cell carcinoma of the kidney in a 50-year-old man. The results of clinical and instrumental studies, as well as the morphological features of both tumors are presented. Due to the atypical morphological structure of mucinous tubular and spindle cell carcinoma, the final diagnosis was possible using an immunohistochemical method, which demonstrated the immunohistochemical profile characteristic of this tumour

A transverse current rectification in graphene superlattice

A model for energy spectrum of superlattice on the base of graphene placed on the striped dielectric substrate is proposed. A direct current component which appears in that structure perpendicularly to pulling electric field under the influence of elliptically polarized electromagnetic wave was derived. A transverse current density dependence on pulling field magnitude and on magnitude of component of elliptically polarized wave directed along the axis of a superlattice is analyzed.Comment: 12 pages, 6 figure