Simple derivation of the effective-mass equation using a multiple-scale technique

European Journal of Physics

Volumn 18, Issue 1, 1997, Pages 43-45

  Pedersen, F B ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0842337242     PISSN: 01430807     EISSN: None     Source Type: Journal    
DOI: 10.1088/0143-0807/18/1/010     Document Type: Article

References (9)

1. Wannier G H 1937 Phys. Rev. 52 191
2. Slater J C 1949 Phys. Rev. 76 1592
3. Adams E N II 1952 Phys. Rev. 85 41
4. Luttinger J M and Kohn W 1955 Phys. Rev. 97 869
5. Altarelli M 1986 Semiconductor Superlattices and Heterojunctions ed G Allan et al (Berlin: Springer) p 12
6. A good introduction to the multiple-scale technique can be found in Bender C M and Orszag S A 1978 Advanced Mathematical Methods for Scientists and Engineers (Tokyo: McGraw-Hill) p 544
7. For other interesting applications of the multiple-scale method see, e.g., Anderson J L 1992 Am. J. Phys. 60 923 Piasecki J 1993 Am. J. Phys. 61 718
8. For other interesting applications of the multiple-scale method see, e.g., Anderson J L 1992 Am. J. Phys. 60 923 Piasecki J 1993 Am. J. Phys. 61 718
9. Kittel C 1967 Quantum Theory of Solids (New York: Wiley) p 186