For a 1D infinite well, The energy levels of an electron trapped inside is dependent on the length of the well. The longer the length, the less its energy will be for each state.(adsbygoogle = window.adsbygoogle || []).push({});

I am aware how the formula is derived. The main form of the formula is a solution of Schrodinger's equation which books say is not derived from anything more fundalmental.

But is the fact that the energy levels are depedent on L intuitive? If so why? Could you say that a longer well would mean that the energy of the electron is distributed more evenly for each position x in the well? Hence the energy of the electron is lower at each x in the well for a particular state in a longer well?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Is it intuitive that the Energy levels

Loading...

Similar Threads - intuitive Energy levels | Date |
---|---|

I Simplify the Dirac Energy Equation? | Monday at 11:18 AM |

I LS-Coupling: intuition why 2p^2 has no singlet P? | Nov 9, 2017 |

I A question about assumptions made in derivation of LSZ formula | Feb 11, 2017 |

A Quantum Field Theory - Why quantise fields? | Oct 19, 2016 |

A Physical interpretation of correlator | Aug 6, 2016 |

**Physics Forums - The Fusion of Science and Community**