[Turkmath:8624] IYTE seminar announcement

[Berkant Ustaoglu]

Degerli Matematikciler,

Izmir Yuksek Teknoloji Enstitusu Matematik Bolumu olarak duzenli  
yapmayi dusundugumuz bolum seminerlerinin ilkini bu hafta  
duzenliyoruz. Ilk seminerde 08 Kasim Persembe gunu saat 15:40'da Prof.  
Dr. Oktay Pashaev (Izmir Yuksek Teknoloji Enstitusu) "Fibonacci  
Calculus: from Golden Ratio to Entangled Quantum States"
baslikli bir konusma yapacaktir.

Konusma konusuyla ilgili detaylari asagida ve ekteki ilanda gorebilirsiniz.

Seminer oncesi, cay-kahve ve kurabiye servisi olacaktir. Konusmaya  
herkes davetlidir.

Berkant Ustaoglu


IYTE Matematik Bolum Seminerleri

Fibonacci Calculus: from Golden Ratio to Entangled Quantum States
Oktay Pashaev
Izmir Institute of Technology

Abstract
The Binet formula for Fibonacci numbers is treated as a q-number
with the Golden Ratio bases. By introducing the Fibonacci derivative,
corresponding calculus is developed. The Golden Taylor expansion,
the Golden exponential and trigonometric functions are found and
corresponding oscillator and heat equations are solved. The Golden
binomials as a new set of polynomials, expandable in terms of
Fibonomial coecients are derived. As an application we discuss the
Golden quantum oscillator with spectrum in the form of Fibonacci
numbers and with the ratio of energy levels as the Golden sequence.
Another application is related with entangled multiple qubit states in
the quantum computation theory.

Date: 08.11.2012
Time: 15:40 room
Place: IYTE Math Department seminar room MD122
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