Fermi energy in the q-deformed quantum mechanics
Keyword(s):
In this paper, we use the q-derivative emerging in the non-extensive statistical physics to formulate the q-deformed quantum mechanics. We find the algebraic structure related to this deformed theory and investigate some properties of the q-deformed elementary functions. Using this mathematical background, we formulate the q-deformed Heisenberg algebra and q-deformed time-dependent Schrödinger equation. As an example, we deal with the infinite potential well and compute the Fermi energy in the q-deformed theory.
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1996 ◽
Vol 29
(22)
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pp. 5237-5271
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1994 ◽
Vol 15
(1)
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pp. 273-286
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Keyword(s):
1999 ◽
Vol 354
(1392)
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pp. 1915-1919
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Keyword(s):
2005 ◽
Vol 340
(1-4)
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pp. 87-93
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2021 ◽