Search results for "Spin quantum number"
showing 4 items of 14 documents
Quantum Spin-Tunneling:A Path Integral Approach
1995
We investigate the quantum tunneling of a large spin in a crystal field and an external magnetic field. The twofold degeneracy of the corresponding classical ground state is removed due to tunneling. The tunnel splitting ΔE o of the ground state is calculated by use of a path integral formalism. It is shown that coherent spin state path integrals do not yield a reasonable result. However a “bosonlzation” of the spin system yields excellent results in the semiclassical limit. This result follows from the coherent spin state approach from replacing the spin quantum number s by s + 1/2 which causes a renormalization of the preexponential factor of ΔE o .
The magnetic moment anomaly of the electron bound in hydrogen-like oxygen16O7
2003
The measurement of the g-factor of the electron bound in a hydrogen-like ion is a high-accuracy test of the theory of quantum electrodynamics (QED) in strong fields. Here we report on the measurement of the g-factor of the bound electron in hydrogen-like oxygen (16O7+). In our experiment a single highly charged ion is stored in a Penning trap. The electronic spin state of the ion is monitored via the continuous Stern?Gerlach effect in a quantum non-demolition measurement. Quantum jumps between the two spin states (spin up and spin down) are induced by a microwave field at the spin precession frequency of the bound electron. The g-factor of the bound electron is obtained by varying the micro…
Drops of3Heatoms with good angular-momentum quantum numbers
2000
The stability of drops made of ${}^{3}\mathrm{He}$ atoms is studied by means of a Monte Carlo variational method using wave functions with good angular momentum quantum numbers. The number of constituents considered is in the range 34--40. It is found that the minimal bound drop requires 35 atoms (perhaps 34) and that the preferred wave function must have the maximum spin.
Particles with Spin 1/2 and the Dirac Equation
2013
In order to identify the spin of a massive particle one must go to its rest system, perform rotations of the frame of reference, and study the transformation behaviour of one-particle states. This prescription was one of the essential results of Chap. 6. Furthermore, the spin \(1/2\) (electrons, protons, other fermions) is described by the fundamental representation of the group \(SU(2)\). The eigenstates of the observables \(\mathbf{{s}}^2\) and \(s_3\) transform by the \(D\)-matrix \(\mathbf{D }^{(1/2)}(\mathbf R )\) which is a two-valued function on \(\mathbb{R }^3\).