Quick search Find article
Quick search
Find article

Expressions of the Green function in terms of reflection coefficients

Toru Miyazawa

Show affiliations


We study the one-dimensional Schrödinger equation and derive exact expressions for the Green function in terms of reflection coefficients which are defined for semi-infinite intervals. We also discuss the relation between our results and the WKB approximation.


PACS

03.65.Ge Solutions of wave equations: bound states

02.30.Hq Ordinary differential equations

03.65.Nk Scattering theory

03.65.Sq Semiclassical theories and applications

MSC

81Uxx Scattering theory (See also 34A55, 34L25, 34L40, 35P25, 47A40)

81Q20 Semiclassical techniques including WKB and Maslov methods

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 34 (25 August 2006)

Received 9 June 2006

Published 9 August 2006



  1. Expressions of the Green function in terms of reflection coefficients

    Toru Miyazawa 2006 J. Phys. A: Math. Gen. 39 10871

  2. Momentum-density effects upon the electronic stopping of elemental solids

    J Wang et al 1999 J. Phys.: Condens. Matter 11 3973

  3. Classical aspects of quantum turbulence

    Carlo F Barenghi 1999 J. Phys.: Condens. Matter 11 7751

  4. Collapsar Uncorking and Jet Eruption in Gamma-Ray Bursts

    E. Waxman and P. Mészáros 2003 ApJ 584 390

  5. Si/SiGe heterostructures: from material and physics to devices and circuits

    Douglas J Paul 2004 Semicond. Sci. Technol. 19 R75

  6. Whispering gallery mode emission from a composite system of CdTe nanocrystals and a spherical microcavity

    Y P Rakovich et al 2003 Semicond. Sci. Technol. 18 914

  7. Convolution of multifractals and the local magnetization in a random-field Ising chain

    Thomas Nowotny and Ulrich Behn 2001 J. Phys. A: Math. Gen. 34 8057

  8. Digitally reconstructed radiograph generation by an adaptive Monte Carlo method

    Xiaoliang Li et al 2006 Phys. Med. Biol. 51 2745

  9. Orbital angular momentum in Nelson's stochastic mechanics

    Bruno Apolloni and Diego de Falco 2000 J. Phys. A: Math. Gen. 33 3225

  10. Discovery of Two Galaxies Deeply Embedded in the Great Attractor Wall

    T. H. Jarrett et al. 2007 The Astronomical Journal 133 979

Users also read

What's this?
This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.

  1. Analysis of reflection coefficients for the Fokker–Planck equation

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.