Computational quantum mechanics

著者

    • Izaac, Joshua
    • Wang, Jingbo (Physicist)

書誌事項

Computational quantum mechanics

Joshua Izaac, Jingbo Wang

(Undergraduate lecture notes in physics)

Springer, c2018

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内容説明・目次

内容説明

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 Schro dinger equation for arbitrarily complex potentials, and for single and multi-electron systems.

目次

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 Schroedinger equation: One dimension.- Higher dimensions and basic techniques.- Time propagation.- Central potentials.- Multi-electron systems.- Exercises.

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