- 期刊
- OpenAccess
Time Evolution of Free-Field Spatial Moments in Relativistic Quantum Mechanics: (II) Massive Case
並列摘要
The explicit solution for the time evolution of the Nth rank spatial moment(The equation is abbreviated)(rj is the jth cartesian component of the position vector →r) of some field (The symbol is abbreviated) (→r; t) has been obtained. (The symbol is abbreviated) can be any spatially bounded massive field satisfying a relativistic first order linear (”Dirac-like”) differential equation, such as the Dirac bi-spinor. The solution for the Nth moment is a ”polynomial” in time of degree N, whose coefficients are oscillatory functions with only the frequency ω= mc^2/ħ being present. The spin of the field (The symbol is abbreviated) does not affect the form of the solution.
並列關鍵字
無資料延伸閱讀
- Hutchinson, J., Keating, J. P., & Mezzadri, F. (2015). On Relations between One-Dimensional Quantum and Two-Dimensional Classical Spin Systems. Advances in Mathematical Physics, 2015(), 743-760. https://doi.org/10.1155/2015/652026
- Tian, H. (2012). Application of hierarchical equations of motion to time dependent quantum transport [doctoral dissertation, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-0611201300011913
- Tian, H. (2012). Application of hierarchical equations of motion to time dependent quantum transport [doctoral dissertation, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200019827
- Benioff, P. (2009). A Possible Approach to Inclusion of Space and Time in Frame Fields of Quantum Representations of Real and Complex Numbers. Advances in Mathematical Physics, 2009(), 159-180. https://doi.org/10.1155/2009/452738
- Segundo, A. Z., & Bonilla, J. L. L. (2002). Quantitative Analysis Using Squeezed States Defined in the Coherent-State Quantum Phase-Space Representation. Chinese Journal of Physics, 40(3), 228-241. https://www.airitilibrary.com/Article/Detail?DocID=05779073-200206-201210170008-201210170008-228-241