{"action":"opened","issue":{"url":"https://api.github.com/repos/ASU-CompMethodsPhysics-PHY494/final-stern-gerlach-simulation/issues/4","repository_url":"https://api.github.com/repos/ASU-CompMethodsPhysics-PHY494/final-stern-gerlach-simulation","labels_url":"https://api.github.com/repos/ASU-CompMethodsPhysics-PHY494/final-stern-gerlach-simulation/issues/4/labels{/name}","comments_url":"https://api.github.com/repos/ASU-CompMethodsPhysics-PHY494/final-stern-gerlach-simulation/issues/4/comments","events_url":"https://api.github.com/repos/ASU-CompMethodsPhysics-PHY494/final-stern-gerlach-simulation/issues/4/events","html_url":"https://github.com/ASU-CompMethodsPhysics-PHY494/final-stern-gerlach-simulation/issues/4","id":150590900,"number":4,"title":"Gaussian Wave packet ","user":{"login":"gvetaw","id":16825950,"avatar_url":"https://avatars.githubusercontent.com/u/16825950?v=3","gravatar_id":"","url":"https://api.github.com/users/gvetaw","html_url":"https://github.com/gvetaw","followers_url":"https://api.github.com/users/gvetaw/followers","following_url":"https://api.github.com/users/gvetaw/following{/other_user}","gists_url":"https://api.github.com/users/gvetaw/gists{/gist_id}","starred_url":"https://api.github.com/users/gvetaw/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/gvetaw/subscriptions","organizations_url":"https://api.github.com/users/gvetaw/orgs","repos_url":"https://api.github.com/users/gvetaw/repos","events_url":"https://api.github.com/users/gvetaw/events{/privacy}","received_events_url":"https://api.github.com/users/gvetaw/received_events","type":"User","site_admin":false},"labels":[],"state":"open","locked":false,"assignee":null,"milestone":null,"comments":0,"created_at":"2016-04-23T19:53:25Z","updated_at":"2016-04-23T19:53:25Z","closed_at":null,"body":"Hello guys, \r\n\r\nSo our problem is that we have a PDE to solve which is second ordered in space and first ordered in time. I was thinking that we should use the technique that we learned on Tuesday for for solving the diffusion eqn since Schrodinger eqn is parabolic as well. That would mean that we would use a lattice as demonstrated from the lecture notes of PDEs. As far as building the Gaussian wave packet goes I think we should take baby steps and first do a fourier transform that is one-dimensional and time independent. Once that works we can build a three-dimensional wave packet and then let it evolve with time by using a finite difference scheme. After those steps are complete we would then just simply add the results with an if statement to two basis for spin up or spin down as defined in the literature from the resource  @directory. Let me know if it sounds like a plan. "}}