• Corpus ID: 37718721

# Angular Momentum in Quantum Mechanics

@inproceedings{Johnson2015AngularMI,
title={Angular Momentum in Quantum Mechanics},
author={R. C. Johnson},
year={2015}
}
We begin with a review of the basic concepts involved in the quantum mechanical description of physical systems and the notation we will use in the lectures. The notes in this Section are not intended to provide an introductory course on Quantum Mechanics. They assume the reader has had at least a first course at undergraduate physics level that covers some historical background and reviews the experimental evidence that leads to the necessity for the formalism developed here as the most useful…
235 Citations
O ct 2 02 1 Uniqueness of the energy eigenvalues in pure quantum systems
• 2021
We show that variational method for harmonic oscillator in Bargmann representation breaks down since we always end up with one of the exact eigenvalues of Hamiltonian using any normalized monomials
Semiclassical Analysis of Fundamental Amplitudes in Loop Quantum Gravity
Author(s): Hedeman, Austin J. | Advisor(s): Littlejohn, Robert G | Abstract: Spin networks arise in many areas of physics and are a key component in both the canonical formulation (loop quantum
Quantum Metrology with Atoms and Light
Quantum Metrology with Atoms and Light The primary objective of this dissertation is to propose methods of generating nonclassical states of matter or light and examine the possibility of using such
Mathematical and numerical foundations of the pseudopotential method
The contributions of this thesis consist of three main results. The first result is concerned with analytic perturbation theory for Kohn-Sham type models. We prove, under some technical
Self-consistent Green's function studies of modern Hamiltonians in finite and infinite systems
This dissertation presents an ab initio investigation of modern nuclear Hamiltonians predicted by chiral effective field theory (ChEFT) and lattice quantum chromodynamics (LQCD), in both infinite and
Calculating spherical harmonics without derivatives
• Physics, Mathematics
Condensed Matter Physics
• 2018
The derivation of spherical harmonics is the same in nearly every quantum mechanics textbook and classroom. It is found to be difficult to follow, hard to understand, and challenging to reproduce by
Relativistic aspects of orbital and magnetic anisotropies in the chemical bonding and structure of lanthanide molecules
• Physics
• 2021
The electronic structure of magnetic lanthanide atoms is fascinating from a fundamental perspective. They have electrons in a submerged open 4f shell lying beneath a filled 6s shell with strong
Precision calculations for the low-energy dynamics of pions and nucleons
QCD is strongly coupled at long distances and therefore non-perturbative methods are required to understand its low-energy properties, e.g. to answer such basic questions as of the origin of the
Information, complexity, and quantum entanglement on doubly excited states of helium atom
The electronic density \rho(r) in atoms, molecules and solids is, in general, a distribution that can be observed experimentally, containing spatial information projected from the total wave
The Variational Methods of Quantum Systems in Holomorphic Representation
• Physics
• 2021
We show that variational method for harmonic oscillator in Bargmann representation breaks down since we always end up with one of the exact eigenvalues of Hamiltonian using any normalized monomials