"슈뢰딩거 방정식"의 두 판 사이의 차이

수학노트
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<h5>개요</h5>
 
<h5>개요</h5>
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*  입자가 만족시키는 파동방정식<br>
  
 
<math>i\hbar\frac{\partial}{\partial t} \Psi(\mathbf{r},\,t) = \hat H \Psi(\mathbf{r},\,t)</math>
 
<math>i\hbar\frac{\partial}{\partial t} \Psi(\mathbf{r},\,t) = \hat H \Psi(\mathbf{r},\,t)</math>
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<h5>메모</h5>
 
<h5>메모</h5>
  
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보어모델 http://www.chemteam.info/Chem-History/Bohr/Bohr-1913a.html
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* 보어모델 http://www.chemteam.info/Chem-History/Bohr/Bohr-1913a.html
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* 슈뢰딩거
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슈뢰딩거
 
  
 
In this paper I wish to consider, first, the simple case of the hydrogen atom (no-relativistic and unperturbed), and show that the customary quantum conditions can be replaced by another postulate, in which the notion of \whole numbers," merely as such, is not introduced. Rather, when integrality does appear, it arises in the same natural way as it does in the case of the node numbers of a vibrating string. The new conception is capable of generalization, and strikes, I believe, very deeply at the nature of the quantum rules. ([http://www.math.ucdavis.edu/%7Ehunter/m280_09/ch4.pdf http://www.math.ucdavis.edu/~hunter/m280_09/ch4.pdf] 12page)
 
In this paper I wish to consider, first, the simple case of the hydrogen atom (no-relativistic and unperturbed), and show that the customary quantum conditions can be replaced by another postulate, in which the notion of \whole numbers," merely as such, is not introduced. Rather, when integrality does appear, it arises in the same natural way as it does in the case of the node numbers of a vibrating string. The new conception is capable of generalization, and strikes, I believe, very deeply at the nature of the quantum rules. ([http://www.math.ucdavis.edu/%7Ehunter/m280_09/ch4.pdf http://www.math.ucdavis.edu/~hunter/m280_09/ch4.pdf] 12page)

2012년 3월 5일 (월) 06:14 판

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개요
  • 입자가 만족시키는 파동방정식

\(i\hbar\frac{\partial}{\partial t} \Psi(\mathbf{r},\,t) = \hat H \Psi(\mathbf{r},\,t)\)

 

 

time independent equation

\(i\hbar\frac{\partial}{\partial t} = -\frac{\hbar^2}{2m}{\partial^2 \psi \over \partial x^2} + V(x)\psi\)

\(\psi(t,x)=e^{-iEt/\hbar}\psi_{E}(x)\)

\(E \psi_{E} = -\frac{\hbar^2}{2m}{\partial^2 \psi_{E} \over \partial x^2} + V(x)\psi_{E}\)

 

 

 

 

 

 

 

역사

 

 

 

 

메모

In this paper I wish to consider, first, the simple case of the hydrogen atom (no-relativistic and unperturbed), and show that the customary quantum conditions can be replaced by another postulate, in which the notion of \whole numbers," merely as such, is not introduced. Rather, when integrality does appear, it arises in the same natural way as it does in the case of the node numbers of a vibrating string. The new conception is capable of generalization, and strikes, I believe, very deeply at the nature of the quantum rules. (http://www.math.ucdavis.edu/~hunter/m280_09/ch4.pdf 12page)

Erwin Schrödinger and the rise of wave mechanics. II. The creation of wave mechanics

 

 

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리뷰논문, 에세이, 강의노트

 

 

 

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