物理学哲学分享 http://blog.sciencenet.cn/u/赵国求 研究员,武汉市学科带头人,专著十部,国内外发表论文六十余篇。

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Describe quantum mechanics in Dual 4 d complex space-time a

已有 3121 次阅读 2015-1-6 11:54 |个人分类:物理|系统分类:科研笔记

2. Some physical concepts2.1 Micro-object 

To avoid the trouble caused by mass point model, we call the micro particle as micro-object.

2.2 Some concepts

(1) Static micro-object Compton momentum:p0=m0c, where m0 is the static mass;

(2) Kinetic micro-object Compton momentum:p1=mc,where mis the kinetic mass;

(3) The relativistic momentum:pi=mic (i=2,3,4), where c is the light velocity;

(4) Static micro-object Compton wavelength:λ0h/m0c , where h is the Planck  constant;

(5) Kinetic micro-object Compton wavelength:λ1h/mc ;

(6) Micro-object De Broglie wavelength: λih/mvi ;

(7) Eigen Radius of static micro-object: R0ħ/m0c ;

   Eigen Curvature of static micro-object:K0m0c/ħ ;

(8) Eigen Radius of kinetic micro-object: R1ħ/mc ;

   Eigen Curvature of kinetic micro-object:K1mc/ħ  ;

(9) Radius Riħ/mvi and Curvature Kimvi . These two are the mapping of micro-object R0  in three dimension phenomenon space. They are the main study objects in Quantum Mechanics.

Notes: the subscript 0 represents the static micro-objects property. The subscript 1,2,3,4” represents the kinetic micro-objects properties. The subscript i represents some physical quantity in the three-dimension phenomenon space.

2.3 The relationship between the relativistic energy momentum and Curvature                                                                                                  If m and m0is the micro-objects kinetic mass and static mass, using the relativistic energy equation  and E2=(mv)2c2+m02c4  (mc)2=(mv)2+(m0c)2.Then we can get  p12=pi2+p02 and K12=ki2+k02 , where  k1kiK0  .

Here we have such vectors: p1, pi, P0, k1, ki, K0. k1K0k1 and ki can construct a 4-dimension Curvature coordinate associated with kinetic micro-objects motion.

《双四维时空量子力学描述与波函数的本论基础》一文已发美国  《Journal of Modern Physics (JMP)》杂志。
Website: http://www.scirp.org/journal/jmp




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