Time Eigenstates for Potential Functions without Extremal Points
In a previous paper, we introduced a way to generate a time coordinate system for classical and quantum systems when the potential function has extremal points. In this paper, we deal with the case in which the potential function has no extremal points at all, and we illustrate the method with the h...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2013-09-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/15/10/4105 |
| _version_ | 1811263094319480832 |
|---|---|
| author | Gabino Torres-Vega |
| author_facet | Gabino Torres-Vega |
| author_sort | Gabino Torres-Vega |
| collection | DOAJ |
| description | In a previous paper, we introduced a way to generate a time coordinate system for classical and quantum systems when the potential function has extremal points. In this paper, we deal with the case in which the potential function has no extremal points at all, and we illustrate the method with the harmonic and linear potentials. |
| first_indexed | 2024-04-12T19:38:27Z |
| format | Article |
| id | doaj.art-5291108d959c4b55850885e949aafb36 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-12T19:38:27Z |
| publishDate | 2013-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-5291108d959c4b55850885e949aafb362022-12-22T03:19:08ZengMDPI AGEntropy1099-43002013-09-0115104105412110.3390/e15104105Time Eigenstates for Potential Functions without Extremal PointsGabino Torres-VegaIn a previous paper, we introduced a way to generate a time coordinate system for classical and quantum systems when the potential function has extremal points. In this paper, we deal with the case in which the potential function has no extremal points at all, and we illustrate the method with the harmonic and linear potentials.http://www.mdpi.com/1099-4300/15/10/4105energy-time coordinatesenergy-time eigenfunctionstime in classical systemstime in quantum systemsharmonic oscillatorlinear potential |
| spellingShingle | Gabino Torres-Vega Time Eigenstates for Potential Functions without Extremal Points Entropy energy-time coordinates energy-time eigenfunctions time in classical systems time in quantum systems harmonic oscillator linear potential |
| title | Time Eigenstates for Potential Functions without Extremal Points |
| title_full | Time Eigenstates for Potential Functions without Extremal Points |
| title_fullStr | Time Eigenstates for Potential Functions without Extremal Points |
| title_full_unstemmed | Time Eigenstates for Potential Functions without Extremal Points |
| title_short | Time Eigenstates for Potential Functions without Extremal Points |
| title_sort | time eigenstates for potential functions without extremal points |
| topic | energy-time coordinates energy-time eigenfunctions time in classical systems time in quantum systems harmonic oscillator linear potential |
| url | http://www.mdpi.com/1099-4300/15/10/4105 |
| work_keys_str_mv | AT gabinotorresvega timeeigenstatesforpotentialfunctionswithoutextremalpoints |