Matches in SemOpenAlex for { <https://semopenalex.org/work/W2044001738> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2044001738 endingPage "39" @default.
- W2044001738 startingPage "31" @default.
- W2044001738 abstract "We consider the problem of a particle confined to a one-dimensional power-law potential of the form , but also subject to a constant force F. This might represent, for example, the application of an external electric field, , via the perturbing potential . The electric polarizability of the system in a given state is defined via the energy shift due to the external field. Exact expressions for are easily obtained for the two most familiar one-dimensional potentials, namely the harmonic oscillator (k = 2) and the symmetric infinite well . For the harmonic oscillator (infinite well) the polarizability scales as and is positive (negative) for large values of n indicating a qualitatively different response of the system to an external field for large quantum numbers. In order to examine this problem for a more general power-law potential, we apply WKB techniques to evaluate the energy shifts for large n and we find that (i) the n-dependence of the polarizability scales as as a function of k and (ii) the approximate value of k at which the crossover from to (for large n) occurs is . This study provides a useful example of numerical WKB techniques, the use of scaling ideas in simple one-dimensional quantum mechanical systems, and a better `feel' for the meaning of the polarizability which is an important physical quantity in more realistic atomic and molecular systems." @default.
- W2044001738 created "2016-06-24" @default.
- W2044001738 creator A5000859797 @default.
- W2044001738 date "1998-01-01" @default.
- W2044001738 modified "2023-09-26" @default.
- W2044001738 title "The polarizability of a particle in power-law potentials: a WKB analysis" @default.
- W2044001738 cites W1971736791 @default.
- W2044001738 cites W1980078796 @default.
- W2044001738 cites W1986486035 @default.
- W2044001738 cites W2003790201 @default.
- W2044001738 cites W2021921017 @default.
- W2044001738 cites W2065557193 @default.
- W2044001738 cites W2072572613 @default.
- W2044001738 cites W2084743609 @default.
- W2044001738 cites W2093917367 @default.
- W2044001738 cites W2159997755 @default.
- W2044001738 cites W905050515 @default.
- W2044001738 doi "https://doi.org/10.1088/0143-0807/19/1/006" @default.
- W2044001738 hasPublicationYear "1998" @default.
- W2044001738 type Work @default.
- W2044001738 sameAs 2044001738 @default.
- W2044001738 citedByCount "7" @default.
- W2044001738 countsByYear W20440017382012 @default.
- W2044001738 countsByYear W20440017382014 @default.
- W2044001738 countsByYear W20440017382019 @default.
- W2044001738 crossrefType "journal-article" @default.
- W2044001738 hasAuthorship W2044001738A5000859797 @default.
- W2044001738 hasConcept C121332964 @default.
- W2044001738 hasConcept C121864883 @default.
- W2044001738 hasConcept C139287275 @default.
- W2044001738 hasConcept C202444582 @default.
- W2044001738 hasConcept C32909587 @default.
- W2044001738 hasConcept C33923547 @default.
- W2044001738 hasConcept C40934718 @default.
- W2044001738 hasConcept C60799052 @default.
- W2044001738 hasConcept C62520636 @default.
- W2044001738 hasConcept C74650414 @default.
- W2044001738 hasConcept C84114770 @default.
- W2044001738 hasConcept C88030215 @default.
- W2044001738 hasConcept C9652623 @default.
- W2044001738 hasConceptScore W2044001738C121332964 @default.
- W2044001738 hasConceptScore W2044001738C121864883 @default.
- W2044001738 hasConceptScore W2044001738C139287275 @default.
- W2044001738 hasConceptScore W2044001738C202444582 @default.
- W2044001738 hasConceptScore W2044001738C32909587 @default.
- W2044001738 hasConceptScore W2044001738C33923547 @default.
- W2044001738 hasConceptScore W2044001738C40934718 @default.
- W2044001738 hasConceptScore W2044001738C60799052 @default.
- W2044001738 hasConceptScore W2044001738C62520636 @default.
- W2044001738 hasConceptScore W2044001738C74650414 @default.
- W2044001738 hasConceptScore W2044001738C84114770 @default.
- W2044001738 hasConceptScore W2044001738C88030215 @default.
- W2044001738 hasConceptScore W2044001738C9652623 @default.
- W2044001738 hasIssue "1" @default.
- W2044001738 hasLocation W20440017381 @default.
- W2044001738 hasOpenAccess W2044001738 @default.
- W2044001738 hasPrimaryLocation W20440017381 @default.
- W2044001738 hasRelatedWork W155697582 @default.
- W2044001738 hasRelatedWork W1977012935 @default.
- W2044001738 hasRelatedWork W1990158594 @default.
- W2044001738 hasRelatedWork W2015116517 @default.
- W2044001738 hasRelatedWork W2016795885 @default.
- W2044001738 hasRelatedWork W2092126483 @default.
- W2044001738 hasRelatedWork W2092570020 @default.
- W2044001738 hasRelatedWork W2149989569 @default.
- W2044001738 hasRelatedWork W2908332535 @default.
- W2044001738 hasRelatedWork W2952287054 @default.
- W2044001738 hasVolume "19" @default.
- W2044001738 isParatext "false" @default.
- W2044001738 isRetracted "false" @default.
- W2044001738 magId "2044001738" @default.
- W2044001738 workType "article" @default.