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Particle in a Box 1 (from Dr. Liebman): You will remember that the energy of a particle in a 3 (and 2) dimensional box is defined by 3 (or 2) quantum numbers. This brings up the concept of degeneracy: a particle with quantum numbers nx, ny, and nz = 3, 3, and 3 has the same energy as a particle with quantum numbers nx, ny, and nz = 1, 1, and 5, etc. etc. The question comes up whether or not there are any patterns to the degeneracy (Does this only happen with odd numbers? Are there certain patterns of odd numbers that give rise to degeneracy, etc.? ). Computers can, of course, compute a set of energy levels very quickly. Can you create a pattern-recognition algorithm to identify degeneracy patterns? It would also be nice to display, on a GUI, the pattern and show the user (i.e. a p-chem student) what
this degeneracy pattern is. (N.B. - Dr. Liebman has indicated that identifying such patterns in degeneracy may be a publishable piece of work!)
Kennedy’s Theorem: According to this theorem the relative instantaneous centres on whichever three bodies that contain motion relative to each other are collinear. Higher Pa
how will you apply principle of superposition in a stepped bar?
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Calculate the Length of Developed Blank Part shown in Figure is to be produced from flat sheet by bending operation. Calculate the length of the developed blank. Assume k = 0.
A space craft ‘A' has velocity 0.9 c relative to the earth. Another spacecraft ‘B' overtakes A with relative velocity 0.5 c. Find the velocity of spacecraft B relative to the groun
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A simple Rankine cycle works between pressures 28 bar and 0.06 bar, the initial condition of steam being dry saturated. Determine the cycle efficiency, work ratio and specific st
Currency Bull Spread and Bear Spread: A currency bull spread is constructed by buying a call option for a particular underlying currency and simultaneously writing a call opti
Step s for Solving Problem for Finding Maximum Power: 1. Use formula stress (σ) = force (Maximum Tension)/Area Where; Area = b.t that is, T max = σ.b.t 2. Unit mass (
material properties
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