Phys. Rev. Lett. 88, 170404 (2002) [4 pages]Divergence-Free WKB MethodReceived 9 November 2000; published 11 April 2002 A new semiclassical approach to the linear and nonlinear one-dimensional Schrödinger equation is presented. For both equations our zeroth-order solutions include nonperturbative quantum corrections to the WKB solution and the Thomas-Fermi solution, thereby allowing us to make uniformly converging perturbative expansions of the wave functions. Our method leads to a new quantization condition that yields exact eigenenergies for the harmonic-oscillator and Morse potentials. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.170404
DOI:
10.1103/PhysRevLett.88.170404
PACS:
03.65.Ge, 03.65.Sq
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.