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Computational Quantum Mechanics
Buch von Jingbo Wang (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

Dr. Josh Izaac holds a PhD in Quantum Information and Computation from The University of Western Australia. He has been involved in teaching methods of computational physics and quantum mechanics for the past five years, and currently works as a computational physicist developing photonics-based quantum computing software. A freelance science journalist, his work has also appeared in Science and Australian Geographic.

Professor Jingbo Wang currently leads an active research group at The University of Western Australia, working in the general area of quantum information and computation, in particular quantum walks, quantum simulation, and quantum algorithm development. This textbook evolved out of several lecture courses on Computational Physics, Computational Quantum Mechanics, and Scientific High Performance Computation, which Professor Wang has taught since 2002 at The University of Western Australia.

Zusammenfassung

Teaches the basis of modern scientific programming - no prior experience required

Explains how to solve the Schrodinger equation with numerous hands-on examples

Allows you to choose between Fortran or Python (or use both!), with code in both languages provided

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2019
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Lecture Notes in Physics
Inhalt: xiii
494 S.
1 s/w Illustr.
494 p. 1 illus.
ISBN-13: 9783319999296
ISBN-10: 331999929X
Sprache: Englisch
Herstellernummer: 978-3-319-99929-6
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Wang, Jingbo
Izaac, Joshua
Auflage: 1st ed. 2018
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Undergraduate Lecture Notes in Physics
Maße: 285 x 215 x 33 mm
Von/Mit: Jingbo Wang (u. a.)
Erscheinungsdatum: 01.03.2019
Gewicht: 1,479 kg
Artikel-ID: 114124957
Über den Autor

Dr. Josh Izaac holds a PhD in Quantum Information and Computation from The University of Western Australia. He has been involved in teaching methods of computational physics and quantum mechanics for the past five years, and currently works as a computational physicist developing photonics-based quantum computing software. A freelance science journalist, his work has also appeared in Science and Australian Geographic.

Professor Jingbo Wang currently leads an active research group at The University of Western Australia, working in the general area of quantum information and computation, in particular quantum walks, quantum simulation, and quantum algorithm development. This textbook evolved out of several lecture courses on Computational Physics, Computational Quantum Mechanics, and Scientific High Performance Computation, which Professor Wang has taught since 2002 at The University of Western Australia.

Zusammenfassung

Teaches the basis of modern scientific programming - no prior experience required

Explains how to solve the Schrodinger equation with numerous hands-on examples

Allows you to choose between Fortran or Python (or use both!), with code in both languages provided

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2019
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Lecture Notes in Physics
Inhalt: xiii
494 S.
1 s/w Illustr.
494 p. 1 illus.
ISBN-13: 9783319999296
ISBN-10: 331999929X
Sprache: Englisch
Herstellernummer: 978-3-319-99929-6
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Wang, Jingbo
Izaac, Joshua
Auflage: 1st ed. 2018
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Undergraduate Lecture Notes in Physics
Maße: 285 x 215 x 33 mm
Von/Mit: Jingbo Wang (u. a.)
Erscheinungsdatum: 01.03.2019
Gewicht: 1,479 kg
Artikel-ID: 114124957
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