Physics – Quantum Physics
Scientific paper
1997-07-02
Physics
Quantum Physics
Four Pages REVTEX, Three Postscript figures
Scientific paper
We devise a new and highly accurate quantization procedure for the inner product representation, both in configuration and momentum space. Utilizing the representation $\Psi(\xi) = \sum_{i}a_i[E]\xi^i R_{\beta}(\xi)$, for an appropriate reference function, $R_{\beta}(\xi)$, we demonstrate that the (convergent) zeroes of the coefficient functions, $a_i[E] = 0$, approximate the exact bound/resonance state energies with increasing accuracy as $i \to \infty$. The validity of the approach is shown to be based on an extension of the Hill determinant quantization procedure. Our method has been applied, with remarkable success, to various quantum mechanical problems.
Handy Carlos R.
Japaridze Sh. G.
Tymczak C. J.
Wang Xiao Qian
No associations
LandOfFree
A Nonperturbative Perspective on Inner Product Quantization: Highly Accurate Solutions to the Schr{ö}dinger Equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Nonperturbative Perspective on Inner Product Quantization: Highly Accurate Solutions to the Schr{ö}dinger Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Nonperturbative Perspective on Inner Product Quantization: Highly Accurate Solutions to the Schr{ö}dinger Equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-162914