|
| | | | |
| | | |
| Stat |
Members: 3669
Articles: 2'599'751
Articles rated: 2609
22 March 2025 |
|
| | | | |
|
Article overview
| |
|
|
Action Variable Quantization, Energy Quantization, and Time Parametrization | | Edward R. Floyd
; | | Date: |
3 Aug 2015 | | Abstract: | Additional information in the Hamilton-Jacobi representation of quantum
mechanics, not available in the Schr"odinger representation, renders
microstates of $psi$. This additional information is incorporated into the
quantum reduced action, $W$. Jacobi’s theorem generates a microstate-dependent
time parametrization $t- au=partial_E W$ where energy, $E$, and action
variable, $J$, are quantized eigenvalues. Milne quantization renders eigenvalue
$J$s. Eigenvalues $J$ and $E$ mutually imply each other. The behavior of the
quantum reduced action as a function of energy for non-eigenvalue energies or
action variables is continuous within a neighborhood that contains an energy or
action variable eigenvalue as a limit point. Substantiating examples include
solving the linear harmonic oscillator numerically and the square well
symbolically in the quantum Hamilton-Jacobi formulation. | | Source: | arXiv, 1508.0291 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER