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To be more concrete, we consider the case of two spin-1/2 fermions (the quark and anti-quark) in more detail, which are combined to a boson with total spin J and parity P. As a result one obtains a 4 × 4 -matrix structure with the correct Lorentz-transformation properties for a state of spin J and parity P, see e.g. [37].
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Their measured state is probabilistic: all that can be said is that there's a fifty-fifty probability that, once one of the electrons is measured, it will be "fixed" in a state of spinning up or down.
We finally employ the method into finding the ground state of spin-2 BEC.
In this paper, a projection gradient method is presented for computing ground state of spin-2 Bose Einstein condensates (BEC).
The key of our method is: by constructing continuous gradient flows (CGFs), the ground state of spin-2 BEC can be computed as the steady state solution of such CGFs.
Although a diamagnetic state suitable for comparison with the high-spin ferrous state of spin-labeled SBL1 presently is not available, the scan of spin-label substitutions across helix 2, and other locations, provides a distance-dependent framework for understanding and separating intrinsic from magnetic components of relaxation rates.
(18) As said, in (18) the factor 4 arises because we are considering both the two states of spin and the degeneracy (equal to 2) of the valley.
When B x)≡0, efficient and simpler numerical methods are presented to solve the ground states of spin-1 BECs based on their ferromagnetic/antiferromagnetic characterizations.
In this paper, we propose efficient numerical methods for computing ground states of spin-1 Bose Einstein condensates (BECs) with/without the Ioffe Pritchard magnetic field B x).
Based on in situ reference measurements on the bistable out-of-plane magnetization of biatomic-layer-high Co nanoislands on Cu (111), we characterized magnetic states of spin-STM tips quantitatively.
A pseudo-arclength continuation method (PACM) is employed to compute the ground state and excited state solutions of spin-1 Bose Einstein condensates (BEC).
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