Probing quantum nanostructures with near-field optical microscopy and (vice versa)

A theory is presented to show how near-field optical microscopy can be used to probe quantum nanostructures. Calculations are done for a quantum dot. Results for different tip/dot configurations and sizes show that near-field excitation can enhance light-hole transitions, excite selection-rule breaking transitions with rates comparable to allowed transitions, and map electron-hole pair wave functions. Conversely, dot response can be used to characterize tip near-fields.Comment: 8 pages of ReVTex, 5 ps figures, submitted to Appl. Phys. Let

Solution to Problem 64-14: Resistance of a ladder network

No abstract

Solution to Problem 65-7*: Solution to an integral equation

No abstract

On some new simple perfect squared squares

AbstractTransformation techniques due to Federico and Willcocks are applied to obtain the first known simple perfect squared square of order 24 from Duijvestijn's computer results for lower order. Similarly, twelve new simple squared squares of order 25 are added to the existing eight found by Federico and Wilson. Our emphasis is on four simple perfect squared squares of order 25 and common reduced side 540. They have 12 elements in common but have pairwise identical elements differently arranged

Solution to Problem 63-14: A resistance problem

No abstract