The Free Schrödinger Equation

  • Brian C. Hall
Part of the Graduate Texts in Mathematics book series (GTM, volume 267)


In this chapter, we consider various methods of solving the free Schrödinger equation in one space dimension. Here “free”means that there is no force acting on the particle, so that we may take the potential V to be identically zero


Phase Velocity Wave Packet Group Velocity Heat Equation Inverse Fourier Transform 
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    P. Miller, Applied Asymptotic Analysis (American Mathematical Society, Providence, RI, 2006)Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Brian C. Hall
    • 1
  1. 1.Department of MathematicsUniversity of Notre DameNotre DameUSA

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