Changes

where

where

E = energy, <math>K_E = frac{1}{2}mv^2</math> (kinetic energy), <mathV_E = V</math> (potential energy)

E = energy, <math>K_E = \frac{1}{2}mv^2</math> (kinetic energy), <math>V_E = V</math> (potential energy)

Note that we've rewritten kinetic energy in terms of momentum, <math>p = mv</math>. Subbing in energy from the quantized energy equation and momentum from DeBroglie's equation, we obtain

Note that we've rewritten kinetic energy in terms of momentum, <math>p = mv</math>. Subbing in energy from the quantized energy equation and momentum from DeBroglie's equation, we obtain