Computational Quantum Mechanics

Quantum mechanics undergraduate courses mostly focus on systems with known analytical solutions; the finite well, simple Harmonic, and spherical potentials. However, most problems in quantum mechanics cannot be solved analytically. This textbook introduces the numerical techniques required to tackle...

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Bibliographic Details
Main Authors: Izaac, Joshua (Author, http://id.loc.gov/vocabulary/relators/aut), Wang, Jingbo (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:Undergraduate Lecture Notes in Physics,
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Part I Scientific programming: an introduction for physicists: Numbers and precision
  • Fortran
  • Python
  • Part II Numerical methods for quantum physics: Finding roots
  • Differentiation and initial value problems
  • Numerical integration
  • The eigenvalue problem
  • The Fourier transform
  • PART III Solving the Schrödinger equation: One dimension
  • Higher dimensions and basic techniques
  • Time propagation
  • Central potentials
  • Multi-electron systems
  • Exercises.