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Computational Quantum Mechanics

  • Joshua Izaac
  • Jingbo Wang

Part of the Undergraduate Lecture Notes in Physics book series (ULNP)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Scientific Programming: an Introduction for Physicists

    1. Front Matter
      Pages 1-1
    2. Joshua Izaac, Jingbo Wang
      Pages 3-15
    3. Joshua Izaac, Jingbo Wang
      Pages 17-82
    4. Joshua Izaac, Jingbo Wang
      Pages 83-162
  3. Numerical Methods for Quantum Physics

    1. Front Matter
      Pages 163-163
    2. Joshua Izaac, Jingbo Wang
      Pages 165-179
    3. Joshua Izaac, Jingbo Wang
      Pages 181-228
    4. Joshua Izaac, Jingbo Wang
      Pages 229-263
    5. Joshua Izaac, Jingbo Wang
      Pages 265-307
    6. Joshua Izaac, Jingbo Wang
      Pages 309-356
  4. Solving the Schrödinger Equation

    1. Front Matter
      Pages 357-357
    2. Joshua Izaac, Jingbo Wang
      Pages 359-386
    3. Joshua Izaac, Jingbo Wang
      Pages 387-413
    4. Joshua Izaac, Jingbo Wang
      Pages 415-438
    5. Joshua Izaac, Jingbo Wang
      Pages 439-457
    6. Joshua Izaac, Jingbo Wang
      Pages 459-485
  5. Back Matter
    Pages 487-494

About this book

Introduction

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 problems in quantum mechanics, providing numerous examples en route. No programming knowledge is required – an introduction to both Fortran and Python is included, with code examples throughout.

With a hands-on approach, numerical techniques covered in this book include differentiation and integration, ordinary and differential equations, linear algebra, and the Fourier transform. By completion of this book, the reader will be armed to solve the Schrödinger equation for arbitrarily complex potentials, and for single and multi-electron systems.


Keywords

Numerical methods in quantum mechanics Solving the Helium atom Python for quantum mechanics Fortran for quantum mechanics Hartree-Fock method Time-dependent Schrödinger equation Solving Schrödinger equation Numerov-Cooley method Runge-Kutta Schrödinger equation Chebyshev expansion Schrödinger equation Multi-electron systems Problems in quantum mechanics

Authors and affiliations

  • Joshua Izaac
    • 1
  • Jingbo Wang
    • 2
  1. 1.Department of PhysicsThe University of Western AustraliaPerthAustralia
  2. 2.Department of PhysicsThe University of Western AustraliaPerthAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-99930-2
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-99929-6
  • Online ISBN 978-3-319-99930-2
  • Series Print ISSN 2192-4791
  • Series Online ISSN 2192-4805
  • Buy this book on publisher's site