The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential

Journal of Physics A: Mathematical and General

Volumn 37, Issue 33, 2004, Pages 8129-8157

  De La Madrid, Rafael ^a  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4344687266     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/33/011     Document Type: Article

References (24)

1. León J, Juive J, Pitanga P and de Urries F J 2000 Phys. Rev. A 61 062101
2. Muga J G 2002 Characteristic Times in One Dimensional Scattering Time in Quantum Mechanics ed J G Muga, R Sala Mayato and I L Egusquiza (Berlin: Springer) p 29 (Preprint quant-ph/0105081)
3. Brummelhuis R and Ruskai M B 2003 One-dimensional models for atoms in strong magnetic fields: II. Antisymmetry in the Landau levels Preprint quant-ph/0308040
4. By Y B and Efrima S 1983 Phys. Rev. B 28 4126
5. Bastard G 1998 Wave mechanics applied to semiconductors heterostructures Les Editions de Physique, Paris
6. Racec E R and Wulf U 2001 Phys. Rev. B 64 115318
7. Sakaki S 1984 Advances in microfabrication and microstructure physics Proc. Int. Symp. Foundations of Quantum Mechanics in the Light of New Technology ed S Kamefuchi et al (The Physical Society of Japan) pp 94-110
8. Kolbas R M and Holonyak N Jr 1984 Am. J. Phys. 52 431
9. de la Madrid R 2001 Quantum mechanics in rigged Hilbert space language PhD Thesis Universidad de Valladolid, Valladolid (2001) http://www.ehu.es/ ~wtbdemor/
10. de la Madrid R 2002 J. Phys. A: Math. Gen. 35 319 (Preprint quant-ph/0110165)
11. de la Madrid R, Bohm A and Gadella M 2002 Fortschr. Phys. 50 185 (Preprint quant-ph/0109154)
12. de la Madrid R 2003 Int. J. Theor. Phys. 42 2441 (Preprint quant-ph/0210167)
13. Forbes G W and Alonso M A 2001 Am. J. Phys. 69 340
14. Roberts J E 1966 J. Math. Phys. 7 1097
15. Roberts J E 1966 Commun. Math. Phys. 3 98
16. Bohm A and Gadella M 1989 Dirac Kets, Gamow Vectors, and Gelfand Triplets, (Springer Lecture Notes in Physics vol 348) (Berlin: Springer)
17. Bollini C G, Civitarese O, DePaoli A L and Rocca M C 1996 J. Math. Phys. 37 4235
18. Galapon E A 2004 J. Math. Phys. 45 3180-215
19. Antoniou I and Tasaki S 1993 Int. J. Quantum Chem. 44 425
20. Suchanecki Z, Antoniou I, Tasaki S and Brandtlow O F 1996 J. Math. Phys. 37 5837
21. Bohm A, Antoniou I and Kielanowski P 1994 Phys. Lett. A 189 442-48
22. Dunford N and Schwartz J 1963 Linear Operators vol II (New York: Interscience)
23. Gelfand I M and Vilenkin N Y 1964 Generalized Functions vol IV (New York: Academic) Maurin K 1968 Generalized Eigenfunction Expansions and Unitary Representations of Topological Groups (Warsaw: Polish Scientific Publishers)
24. Gelfand I M and Vilenkin N Y 1964 Generalized Functions vol IV (New York: Academic) Maurin K 1968 Generalized Eigenfunction Expansions and Unitary Representations of Topological Groups (Warsaw: Polish Scientific Publishers)