Which is the most degenerate case when a particle is in a two dimensional box ?
The most degenerate case is the square, Lx=Ly for which clearly Em,n=En,m. Degeneracies in quantum physics are most often associated with symmetries in this way. For the ground state of the particle in a 2D box, there is one wavefunction (and no other) with this specific energy; the ground state and the energy level are said to be non-degenerate. For the first excited state, three combinations of the quantum numbers (nx,ny) are (2,1) and (1,2).
How to Calculate Total Energy of Particle in 2D Square Box?
Total Energy of Particle in 2D Square Box calculator uses Energy of Particle in 2D Square Box = ([hP]^2*((Energy Levels along x Direction)^2+(Energy Levels along y Direction)^2))/(8*Mass of Particle*(Length of 2D Square Box)^2) to calculate the Energy of Particle in 2D Square Box, The Total Energy of Particle in 2D Square Box formula is defined as the total energy of particle in a 2 dimensional box which is now quantised by two numbers nx and ny. Energy of Particle in 2D Square Box is denoted by E symbol.
How to calculate Total Energy of Particle in 2D Square Box using this online calculator? To use this online calculator for Total Energy of Particle in 2D Square Box, enter Energy Levels along x Direction (n_{x}), Energy Levels along y Direction (n_{y}), Mass of Particle (m) & Length of 2D Square Box (l) and hit the calculate button. Here is how the Total Energy of Particle in 2D Square Box calculation can be explained with given input values -> 1.9E+41 = ([hP]^2*((2)^2+(2)^2))/(8*9E-31*(1E-20)^2).