EXACT SOLUTIONS FOR THE INTERACTION BETWEEN NEUTRON SPIN AND GRAVITATION BY USING INVARIANT THEORY

SHEN JIAN-QI; ZHU HONG-YI; LI JUN

doi:10.7498/aps.50.1884

Abstract
The existence of the interaction between the neutron spin and the gravitation in the experiment of neutron-gravitation interferometry,in addition to the Aharonov-Carmi effect (gravitational A-B effect),is proposed in the paper.The authors obtain the exact solutions to the time-dependent Schrdinger equation describing this interaction by making use of the invariant-related unitary transformation formulation.

Keywords:
spin-gravitation interaltion /

geometrical phase /

time-dependent Schrdinger equation /

in variant theory
Authors and contacts
SHEN JIAN-QI²,

ZHU HONG-YI³,

LI JUN¹

(1)浙江大学现代光学仪器国家重点实验室,光及电磁波研究中心,杭州310027; (2)浙江近代物理中心及浙江大学物理学系,杭州310027; (3)浙江近代物理中心及浙江大学物理学系,杭州310027;浙江大学现代光学仪器国家重点实验室,光及电磁波研究中心,杭州310027
References

Cited By

[1]	Luo Hui-Ling, Ling Xiao-Hui, Zhou Xin-Xing, Luo Hai-Lu. Spin-orbit interaction of a light beam under normal incidence at a sharp interface and its enhancement. Acta Physica Sinica, 2020, 69(3): 034202. doi: 10.7498/aps.69.20191218
[2]	Yang Chao, Chen Shu. Topological invariant in quench dynamics. Acta Physica Sinica, 2019, 68(22): 220304. doi: 10.7498/aps.68.20191410
[3]	Song Wen-Hua, Wang Ning, Gao Da-Zhi, Wang Hao-Zhong, Qu Ke. Concept of waveguide invariant spectrum and algorithm for its extraction. Acta Physica Sinica, 2017, 66(11): 114301. doi: 10.7498/aps.66.114301
[4]	Ding Qi, Hao Ai-Jing. Differential invariants for CDG equation and coupled KDV-MKDV equations. Acta Physica Sinica, 2014, 63(11): 110503. doi: 10.7498/aps.63.110503
[5]	Shan Chuan-Jia. Berry phase and quantum phase transition in spin chain system with three-site interaction. Acta Physica Sinica, 2012, 61(22): 220302. doi: 10.7498/aps.61.220302
[6]	Huang Hu. A theoretical hierarchy of the mild-slope equations for wave-current interactions in coastal waters. Acta Physica Sinica, 2010, 59(2): 740-743. doi: 10.7498/aps.59.740
[7]	Lou Zhi-Mei. Approximate Lie symmetries and approximate invariants of the orbit differential equation for perturbed Kepler system. Acta Physica Sinica, 2010, 59(10): 6764-6769. doi: 10.7498/aps.59.6764
[8]	Guo Mei-Yu, Gao Jie. Differential invariants and group classification of variable coefficient generalized Gardner equation. Acta Physica Sinica, 2009, 58(10): 6686-6691. doi: 10.7498/aps.58.6686
[9]	Mei Feng-Xiang, Cai Jian-Le. Integral invariants of a generalized Birkhoff system. Acta Physica Sinica, 2008, 57(8): 4657-4659. doi: 10.7498/aps.57.4657
[10]	Luo Shao-Kai. A new type of non-Noether adiabatic invariants, i.e. adiabatic invariants of Lut zky type, for Lagrangian systems. Acta Physica Sinica, 2007, 56(10): 5580-5584. doi: 10.7498/aps.56.5580
[11]	Zhang Yi. A new type of adiabatic invariants for Birkhoffian system. Acta Physica Sinica, 2006, 55(8): 3833-3837. doi: 10.7498/aps.55.3833
[12]	Ma Zhong-Qi, Xu Bo-Wei. Exact quantization rule and the invariant. Acta Physica Sinica, 2006, 55(4): 1571-1579. doi: 10.7498/aps.55.1571
[13]	Liu Qing, Zou Dan, Ji Ying-Hua. Time evolution of mesoscopic RLC circuit driven by an alternating current source. Acta Physica Sinica, 2006, 55(4): 1596-1601. doi: 10.7498/aps.55.1596
[14]	Xu Hai-Lei, Shen Jian-Qi, Chen Yi-Xin. Perturbative theory and quantum rate equation of time-dependent double-well tran sport. Acta Physica Sinica, 2003, 52(6): 1372-1378. doi: 10.7498/aps.52.1372
[15]	Shen Jian-Qi, Zhu Hong-Yi, Shi Shen-Lei. . Acta Physica Sinica, 2002, 51(3): 536-540. doi: 10.7498/aps.51.536
[16]	Zhu Hong-Yi, Shen Jian-Qi. . Acta Physica Sinica, 2002, 51(7): 1448-1452. doi: 10.7498/aps.51.1448
[17]	FU JIAN, GAO XIAO-CHUN, XU JING-BO, ZOU XU-BO. INVARIANT-RELATED UNITARY TRANSFORMATION METHOD AND EXACT SOLUTIONS FOR THE QUANTUM DIRAC FIELD IN A TIME-DEPENDENT SPATIALLY HOMOGENEOUS ELECTRIC FIELD. Acta Physica Sinica, 1999, 48(6): 1011-1022. doi: 10.7498/aps.48.1011
[18]	GAO XIAO-CHUN, GAO JUN, FU JIAN. QUANTUM INVARIANT THEORY AND THE MOTION OF AN ION IN A COMBINED TRAP. Acta Physica Sinica, 1996, 45(6): 912-923. doi: 10.7498/aps.45.912
[19]	LAI YUN-ZHONG, LIANG JIU-QING. TIME EVOLUTION OF A QUANTUM SYSTEM WITH HAMILTONIAN CONSISTING OF TIME-DEPENDENT LINEAR COMBINATION OF SU(l, 1)AND SU(2) GENERATORS AND THE HERMITIAN INVARIANT OPERATOR. Acta Physica Sinica, 1996, 45(5): 738-746. doi: 10.7498/aps.45.738
[20]	SUN HONG-LIN, ZHANG GANG, GUO DONG-YAO. TWO-WAVELENGTH NEIGHBORHOOD PRINCIPLE OF TWO-PHASE STRUCTURE INVARIANTS. Acta Physica Sinica, 1989, 38(5): 824-828. doi: 10.7498/aps.38.824

Catalog

Vol. 50, Issue 10 - 2001-05-20

Metrics

Abstract views: 8057
PDF Downloads: 783
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

EXACT SOLUTIONS FOR THE INTERACTION BETWEEN NEUTRON SPIN AND GRAVITATION BY USING INVARIANT THEORY

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

EXACT SOLUTIONS FOR THE INTERACTION BETWEEN NEUTRON SPIN AND GRAVITATION BY USING INVARIANT THEORY

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About