Quantum Mechanics in Spaces of Constant Curvature
Seiten
2011
Nova Science Publishers Inc (Verlag)
978-1-61470-271-9 (ISBN)
Nova Science Publishers Inc (Verlag)
978-1-61470-271-9 (ISBN)
Gives detailed analytical treatment and solutions to a number of problems of quantum mechanics and field theory in simplest non-Euclidean spacetime models. This book focuses on various themes created by non-vanishing curvature in classical physical topics and concepts.
Quantum mechanics had been started with the theory of the hydrogen atom, so when considering the quantum mechanics in Riemannian spaces it is natural to turn first to just this simplest system. A common quantum-mechanical hydrogen atom description is based materially on the assumption of the Euclidean character of the physical 3-space geometry. In this context, natural questions arise: what in the description is determined by this special assumption, and which changes will be entailed by allowing for other spatial geometries. The questions are of fundamental significance, even beyond their possible experimental testing. In the present book, detailed analytical treatment and exact solutions are given to a number of problems of quantum mechanics and field theory in simplest non-Euclidean spacetime models. The main attention is focused on new themes created by non-vanishing curvature in classical physical topics and concepts.
Quantum mechanics had been started with the theory of the hydrogen atom, so when considering the quantum mechanics in Riemannian spaces it is natural to turn first to just this simplest system. A common quantum-mechanical hydrogen atom description is based materially on the assumption of the Euclidean character of the physical 3-space geometry. In this context, natural questions arise: what in the description is determined by this special assumption, and which changes will be entailed by allowing for other spatial geometries. The questions are of fundamental significance, even beyond their possible experimental testing. In the present book, detailed analytical treatment and exact solutions are given to a number of problems of quantum mechanics and field theory in simplest non-Euclidean spacetime models. The main attention is focused on new themes created by non-vanishing curvature in classical physical topics and concepts.
Introduction; Space geometry & hydrogen atom; Space geometry & quantum oscillator; Hydrogen atom in the models E3, S3, H3 & WKB-quantization; Harmonic oscillator in E3, S3, H3 & WKB-quantization; Parabolic coordinates, the hydrogen atom in spaces H3 & S3; Spin 0 particle in magnetic field, Landau problem in spaces H3 & S3; Spin 1/2 particle in magnetic field; Classical particle in magnetic field in Lobachevsky space; Classical particle in magnetic field in spherical space; Solutions of the Dirac equation in spherical & elliptic models.
| Zusatzinfo | Illustrations |
|---|---|
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 260 x 180 mm |
| Gewicht | 658 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| ISBN-10 | 1-61470-271-3 / 1614702713 |
| ISBN-13 | 978-1-61470-271-9 / 9781614702719 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Gekrümmte Kurven und Flächen
Buch | Softcover (2024)
De Gruyter (Verlag)
CHF 76,90
Nielsen Methods, Covering Spaces, and Hyperbolic Groups
Buch | Softcover (2024)
De Gruyter (Verlag)
CHF 153,90
