Morlet wavelets in quantum mechanics

Wavelets offer significant advantages for the analysis of problems in quantum mechanics. Because wavelets are localized in both time and frequency they avoid certain subtle but potentially fatal conceptual errors that can result from the use of plane wave or delta function decomposition. Morlet wavelets are particularly well-suited for this work: as Gaussians, they have a simple analytic form and they work well with Feynman path integrals. To take full advantage of Morlet wavelets we need an explicit form for the inverse Morlet transform and a manifestly covariant form for the four-dimensional Morlet wavelet. We supply both here.Comment: 17 pages, 2 figure

A New Paranomia from British Columbia

Length 10.5 mm. Black; abdominal segments 1-4 at apex with bands of a golden-yellowish be pubescence; the head in front, the cheeks, the occiput, the thorax in front at the sides, the postscutellum, the legs, and the abdomen beneath, alI clothed with a pale or whitish pubescence. Wings hyaline, fuliginous at apex, the costae and parastigma black, the stigmal and internal veins testaceous. Legs mostly black, with tarsal joints 2-5 mostly yellowish. The head is rather finely, sparsely punctate, the thorax more closely and densely punctate, but with the punctures finer on the scutellum, while the metathorax is shagreened, opaque. The abdomen has the first segment minutely punctulate, the following segments being more or less alutaceous

A New Genus and Some New Species of Hymenoptera from the Phillipine Islands

All the Hymenoptera described in this paper were received from Father W. A. Stanton, who captured them in the Observatory Garden at Manila, P.I