Create pattern recognition algorithm to identify degeneracy, Mechanical Engineering

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!)

 

Posted Date: 4/1/2013 1:48:11 AM | Location : United States







Related Discussions:- Create pattern recognition algorithm to identify degeneracy, Assignment Help, Ask Question on Create pattern recognition algorithm to identify degeneracy, Get Answer, Expert's Help, Create pattern recognition algorithm to identify degeneracy Discussions

Write discussion on Create pattern recognition algorithm to identify degeneracy
Your posts are moderated
Related Questions

Spot welding of different metals-Aluminium and its alloys High currents and shorter welding times are necessary for these materials. Special cleaning of the surface is warrante

(a) The following forces (all pull) act at a point : (6) (i) 20 N North-East (ii) 25 N due North (iii) 20 N 30o East of South (iv) 15 N due East (v) 30 N 60o South o

High Speed Circuit : The speed of motorcycle is further increased by raising the throttle valve. In this condition, fuel and air enter through main passage and main jet as can be

Q. Combustion Chamber and Radiant Section? The combustion chamber and the radiant heat transfer section of the Steam Generators shall be a horizontal, multiple pass arrangement

There are various refrigeration systems employing various methods. State any seven (7) refrigeration systems, mention the method(s) employed to attain low temperatures, and state a

Q. Show Hazard assessment of plant operation? Using the hazard assessment of each plant operation will help establish the layout or orientation of process units within the plan

Q.   Find the dimension of strongest rectangular beam that can be cut out of log of 25 mm  diameter. Sol .: b 2 +  d 2 = 25 2 d 2 = 25 2 -  b 2 As M/I = σ/y; M =


The layout of a transmission shaft carrying two pulley C and B and supported on bearings A and D is shown in figure. Power is supplied to the shaft by means of vertical belt on pul