Timeline for Hamiltonian for a free particle in polar coordinates
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 25, 2021 at 1:36 | vote | accept | Lost | ||
| Jan 25, 2021 at 1:36 | comment | added | Lost | Will radial and azimuthal remain zero for any linear trajectory? Non-constant velocity and non-parallel to X-Y axes? If this is so, then is there a way of thinking about it without actually solving for the accelerations? | |
| Jan 25, 2021 at 1:32 | comment | added | Lost | I had thought that since writing EOM of linear trajectory in 3-D soherical coordinate system yields radial and azimuthal accelerations, same would be the case with 2-D polar coordinates. Though it seems it cannot be extended like that. Any other input as to why this lazy extension of mine was not valid apart from the obvious mathematics? | |
| Jan 25, 2021 at 1:29 | comment | added | Lost | Understood. Now its obvious. It was a stupid mistake. Also now I understand that the extra 2nd term in the 1st eqn given in Liboff is the reason $a_r$ is not equal to zero there. This is because thats the 3-D Hamiltonian. | |
| Jan 25, 2021 at 1:22 | history | edited | Cosmas Zachos | CC BY-SA 4.0 |
added 52 characters in body
|
| Jan 25, 2021 at 1:12 | history | answered | Cosmas Zachos | CC BY-SA 4.0 |