When do we say that wavefunctions are degenerate ?
Two distinct wavefunctions are said to be degenerate if they correspond to the same energy. If the sides a, b of the rectangle are such that a/b is irrational (the general case), there will be no degeneracies. 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. However, in the 2-D box potential, the energy of a state depends upon the sum of the squares of the two quantum numbers. The particle having a particular value of energy in the excited state may has several different stationary states or wavefunctions. If so, these states and energy eigenvalues are said to be degenerate.
How to Calculate Total Energy of Particle in 2D Box?
Total Energy of Particle in 2D Box calculator uses Total Energy of Particle in 2D Box = ((Energy Levels along x Direction)^2*([hP])^2/(8*Mass of Particle*(Length of Box along x Direction)^2))+((Energy Levels along y Direction)^2*([hP])^2/(8*Mass of Particle*(Length of Box along y Direction)^2)) to calculate the Total Energy of Particle in 2D Box, The Total Energy of Particle in 2D 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. Total Energy of Particle in 2D Box is denoted by E symbol.
How to calculate Total Energy of Particle in 2D Box using this online calculator? To use this online calculator for Total Energy of Particle in 2D Box, enter Energy Levels along x Direction (n_{x}), Mass of Particle (m), Length of Box along x Direction (l_{x}), Energy Levels along y Direction (n_{y}) & Length of Box along y Direction (l_{y}) and hit the calculate button. Here is how the Total Energy of Particle in 2D Box calculation can be explained with given input values -> 1.9E+21 = ((2)^2*([hP])^2/(8*9E-31*(1.01E-10)^2))+((2)^2*([hP])^2/(8*9E-31*(1.01E-10)^2)).