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1. First Order Form of Schrödinger Equation | |||
LI Anyong | |||
Physics 21 May 2015 | |||
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Abstract:Based on the algebra of matrices we propose a general first order equation in three- dimension which can deduce the Schrödinger equation. The corresponding time-independent equation is also proposed for a general potential. Several constant potential problems including potential step problem and potential well problem are treated using this first-order equation, we obtain the non- relativistic quantum mechanical results of the Schrödinger equation. Moreover, for the finite potential well problem, the first-order relativistic correction of the energy is also obtained. | |||
TO cite this article:LI Anyong. First Order Form of Schrödinger Equation[OL].[21 May 2015] http://en.paper.edu.cn/en_releasepaper/content/4644614 |
2. Transmitting Matter by Using Space-Varying Probability | |||
HUANG Yongyi | |||
Physics 10 January 2012 | |||
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Abstract:Macro matter has a definite path, howerver, micro matter does not have a clear moting path because it has a fundamental property i.e. the duality of wave and particle. Based on the difference between macro matter and micro matter, we propose the concept of transmitting matter by using space-varying probability. After we solve Schrodinger equation of the unequal doublee-δ potential, we demonstrate the main process of transmission via space-varying probability. We point out three main results for probability transmission: (1) the transmission distance does not have any limit, (2) the transmission system will emit a phonon at the end of transmission process. (3) the transimission velocity is de Broglie matter wave phase velocity which may be larger many times than light speed in vacuum | |||
TO cite this article:HUANG Yongyi. Transmitting Matter by Using Space-Varying Probability[OL].[10 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4461264 |
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