## Quantum Physics in the Nanoworld: Schrödinger's Cat and the DwarfsThe book deals with all essential aspects of non-relativistic quantum physics up to the quantization of fields. In contrast to common textbooks of quantum mechanics, modern experiments are described both for the purpose of foundation of the theory and in relation to recent applications. In this respect applications to nano-electronics as well as the realization of quantum-bits are presented and discussed. Furthermore, links are made to other important research fields and applications, such as elementary particle physics, solid state physics and nuclear magnetic resonance tomography in medicine. Even though the representation of the topics is largely performed in terms of Dirac ́s bra-ket notation and by use of commutator algebra, the concrete description of the physical basis and the corresponding theoretical concepts are emphasized. Because of little requirement of complex mathematics, the book is suitable as an introduction into quantum physics, not only for physicists but also for chemists, biologists, engineers, computer scientists and even for philosophers as far as they are interested in natural philosophy and epistomology. |

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### Contents

1 | |

9 | |

ParticleWave Duality | 27 |

Quantum States in Hilbert Space | 79 |

Angular Momentum Spin and Particle Categories | 119 |

Approximate Solutions for Important Model Systems | 201 |

Superposition Entanglement and Other Oddities | 291 |

Fields and Quanta | 341 |

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### Common terms and phrases

2-level system 2DEG amplitude analogy angular momentum approximation barrier beam bosons calculation charge classical commutation conduction band coordinate corresponding Coulomb crystal density matrix derived described detector diffraction dipole direction double slit eigenfunctions eigenstates eigenvalues electric field electromagnetic field emission energy eigenvalues energy levels excited experiment Fermi fermions ﬁeld frequency GaAs Hamilton operator Hamiltonian harmonic oscillator Hilbert space interaction interference lattice light wave magnetic field matrix elements measurement normal nuclei obtained orbitals perturbation photon plane wave position potential probability probability amplitudes problem propagation Q-bit quantized quantum dot quantum mechanical quantum number quantum physics quarks Rb atoms reciprocal lattice relation representation resonance respectively rotation Schrödinger equation Sect semiconductor single electron single particle solution spatial spherical spin orientation superposition surface symmetry theory time-dependent tion transition two-particle values velocity voltage wave function wave packet wave vector yields