Spin and entanglement in general relativity

被引:2
|
作者
Horwitz, Lawrence P. [1 ,2 ,3 ]
机构
[1] Tel Aviv Univ, IL-69978 Ramat Aviv, Israel
[2] Ariel Univ, IL-40700 Ariel, Israel
[3] Bar Ilan Univ, IL-52900 Ramat Gan, Israel
来源
EUROPEAN PHYSICAL JOURNAL PLUS | 2021年 / 136卷 / 01期
关键词
2-BODY BOUND-STATE;
D O I
10.1140/epjp/s13360-020-00967-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In a previous paper, we have shown how the classical and quantum relativistic dynamics of the Stueckelberg-Horwitz-Piron [SHP] theory can be embedded in general relativity (GR). We briefly review the SHP theory here and, in particular, the formulation of the theory of spin in the framework of relativistic quantum theory. We show here how the quantum theory of relativistic spin can be embedded, using a theorem of Abraham, Marsden and Ratiu and also explicit derivation, into the framework of GR by constructing a local induced representation. The relation to the work of Fock and Ivanenko is also discussed. We show that in a gravitational field there is a highly complex structure for the spin distribution in the support of the wave function. We then discuss entanglement for the spins in a two body system.
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页数:16
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