5 citations · 17 across the 47 of their papers we have counts for
10 papers · 1 filter
On approximating the free harmonic oscillator by a particle in a box
Kunle Adegoke, Adenike Olatinwo, Henry Otobrise +2
The main purpose of this paper is to demonstrate and illustrate, once again, the potency of the variational technique as an approximation procedure for the quantization of quantum…
Exact diagonalization of the dimensional confined quantum harmonic oscillator
Kunle Adegoke, Adenike Olatinwo, Henry Otobrise +2
In the existing literature various numerical techniques have been developed to quantize the confined harmonic oscillator in higher dimensions. In obtaining the energy eigenvalues,…
A non-PSLQ route to BBP-type formulas
Kunle Adegoke
BBP-type formulas are usually discovered experimentally, through computer searches. In this paper, however, starting with two simple generators, and hence without doing any compute…
Infinite arctangent sums involving Fibonacci and Lucas numbers
Kunle Adegoke
Using a straightforward elementary approach, we derive numerous infinite arctangent summation formulas involving Fibonacci and Lucas numbers. While most of the results obtained are…
A class of digit extraction BBP-type formulas in general binary bases
Kunle Adegoke, Jaume Oliver Lafont, Olawanle Layeni
BBP-type formulas are usually discovered experimentally, one at a time and in specific bases, through computer searches. In this paper, however, we derive directly, without doing a…
The higher derivatives of the inverse tangent function and rapidly convergent BBP-type formulas
Kunle Adegoke, Olawanle Layeni
We give a closed formula for the derivative of . A new expansion for is also obtained and rapidly convergent series for and are deriv…