1 / 10

Curvature and Energy Relations in Quantum Physics

Explore the classical allowed and forbidden regions, positive and negative curvature implications on energy levels. Understand physically acceptable vs. unacceptable solutions in quantum mechanics.

mason-hayden
Download Presentation

Curvature and Energy Relations in Quantum Physics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. E = K + U U(x) U(x) U = 0 negative curvature classical allowed region positive curvature energy E > U  K > 0 positive curvature E E < U  K < 0 E < U  K < 0 U = -U0 classical forbidden region classical forbidden region position x

  2. U(x) Physically unacceptable solution: wavefunction diverges to +  E = 177.0 eV Physically acceptable solution: wavefunction converges to 0 E = 173.5 eV Physically unacceptable solution: wavefunction diverges to - E = 170.0 eV

  3. 1st excited state n = 2, E2 = -296.63 eV ground state n = 1, E1 = -373.84 eV 2nd excited state n = 3, E3 = -173.5 eV 3nd excited state n = 4, E4 = -21 eV

  4. E = - 373.797386eV E = - 373.797396eV E = - 373.797300eV

  5. anti-nodal line – constructive interference slit 1 slit 2 nodal line – destructive interference

  6. U U = 0 x force on bound electron F F = 0 x x = 0

  7. 1 2 5 6 4 8 7 9 10

More Related