Timeline for What is the general solution of the one-dimensional time-independent Schrodinger's equation with constant potential?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Jun 11, 2021 at 9:30 | comment | added | Gandalf73 | Boundary conditions are unique for a specific problem, you can't change. There are no general B.C. for SE but there are the wavefunction like the wavefunction has to continuous everywhere. My advice is solve a simple problem using both the solutions and apply appropriate B.C. and check if its true. Look how the wave is propagating. | |
| Jun 10, 2021 at 11:44 | comment | added | J. Murray | @DipankarMitra Yes. | |
| Jun 10, 2021 at 11:43 | comment | added | Dipankar Mitra | @J.Murray oh..I have understood. But can C and D in the second solution take complex values as A and B? | |
| Jun 10, 2021 at 11:39 | comment | added | J. Murray | @DipankarMitra Yes. Wavefunctions are generally complex valued, which shouldn’t be surprising because the two complex exponentials are also solutions. | |
| Jun 10, 2021 at 11:35 | comment | added | Dipankar Mitra | @J.Murray I am not sure A and B real-valued or not. Can A and B take complex values? | |
| Jun 10, 2021 at 11:13 | comment | added | J. Murray | @DipankarMitra why should A and B be real-valued? | |
| Jun 10, 2021 at 7:33 | comment | added | Dipankar Mitra | As you said both are the solutions to the TISE and P1(x) and P2(x) will be same after applying the boundary conditions How it can Be? Say for example, I have choosen two arbitrary values for C and D as C = 2 and D = 3. Now no real values of A and B can equalize P1(x) and P2(x). so how can P1(x) and P2(x) be same? | |
| Jun 10, 2021 at 7:26 | comment | added | Dipankar Mitra | Then what are the boundary conditions of this equation? Does boundary conditions depends on systems? Or there is any general boundary condition for Schoedinger's equation? | |
| Jun 9, 2021 at 15:26 | vote | accept | Dipankar Mitra | ||
| Jun 10, 2021 at 8:26 | |||||
| Jun 9, 2021 at 15:25 | vote | accept | Dipankar Mitra | ||
| Jun 9, 2021 at 15:25 | |||||
| Jun 9, 2021 at 15:25 | vote | accept | Dipankar Mitra | ||
| Jun 9, 2021 at 15:25 | |||||
| Jun 9, 2021 at 7:28 | history | answered | Gandalf73 | CC BY-SA 4.0 |