Sriram Shastry, B. (1983) Exact solution of a nonlinear eigenvalue problem in one dimension Physical Review Letters, 50 (9). pp. 633-636. ISSN 0031-9007
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Official URL: http://prl.aps.org/abstract/PRL/v50/i9/p633_1
Related URL: http://dx.doi.org/10.1103/PhysRevLett.50.633
Abstract
An exact solution of the eigenvalue problem {-d2/dx2+Δ[1-a0ρ(x)]}ψn(x)=En ψn(x) with ρ(x)=∑n=1N|ψn(x)|2 and with periodic boundary condition is presented. The solution gives rise to a density wave with [const-ρ(x)] proportional to sn2[(x/λ)|m] for suitable values of the parameters λ and m. The solution rests upon some remarkable properties of the solutions of Lamé's equation.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 50827 |
Deposited On: | 27 Jul 2011 13:13 |
Last Modified: | 18 May 2016 04:59 |
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