Some physical applications of generalized Lambert functions
In this paper we review the physical applications of the generalized Lambert function recently defined by the first author. Among these applications we mention the eigenstate anomaly of the \(H_2^+\) ion, the two dimensional two-body problem in general relativity, the stability analysis of delay dif...
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| creator | Mező, István Keady, Grant |
| description | In this paper we review the physical applications of the generalized Lambert function recently defined by the first author. Among these applications we mention the eigenstate anomaly of the \(H_2^+\) ion, the two dimensional two-body problem in general relativity, the stability analysis of delay differential equations and water-wave applications. We also point out that the inverse Langevin function is nothing else but a specially parametrized generalized Lambert function. |
| doi_str_mv | 10.48550/arxiv.1505.01555 |
| format | Article |
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| subjects | Differential equations Dimensional stability Eigenvectors Mathematics - Classical Analysis and ODEs Relativity Stability analysis Two body problem Two dimensional bodies |
| title | Some physical applications of generalized Lambert functions |
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