Schrodinger equation of a free particle in the rectilinear

  • Thread starter Tian WJ
  • Start date
26
0
Schrodinger equation of a free particle in the rectilinear


With the wave function in the laboratory reference already known, relate the wave functions of the initial and new references via phase factors, and represent the time and spatial derivatives of the initial wave function with those of the wave function in new reference. Through adjusting the phase factor, conclusions are drawn that when the rectilinear reference frame moves uniformly to the laboratory reference, the form of Schrodinger equation remains unchanged; yet if the rectilinear reference is under uniform acceleration, the Schrodinger equation (and its Hamiltonian) will add an energy dimensional term equivalent to a static potential field towards the opposite direction of the acceleration. In the end extensions of the conclusions are put forward.
 
Last edited by a moderator:

jtbell

Mentor
15,372
3,118
Tian WJ, please read your private messages. Click on the link "Your Notifications" at the top right of the page, underneath "Welcome, Tian WJ. You last visited..."
 
Last edited:

Related Threads for: Schrodinger equation of a free particle in the rectilinear

Replies
6
Views
570
Replies
2
Views
605
Replies
1
Views
3K
Replies
1
Views
1K
Replies
6
Views
1K
Replies
3
Views
5K
Replies
12
Views
2K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top