Halliday-Suranyi Approach to the Anharmonic Oscillator
Nabin Bhatta, Tatsu Takeuchi
TL;DR
This paper explores the Halliday-Suranyi perturbation method to accurately compute energy levels of the quartic anharmonic oscillator, contributing to quantum mechanics techniques.
Contribution
It introduces a detailed application of the Halliday-Suranyi approach to anharmonic oscillators, expanding the method's utility in quantum physics.
Findings
Successful calculation of energy eigenvalues for the quartic anharmonic oscillator.
Demonstration of the method's accuracy and convergence.
Comparison with existing techniques shows improved results.
Abstract
In this contribution to Peter Suranyi Festschrift, we study the Halliday-Suranyi perturbation method for calculating the energy eigenvalues of the quartic anharmonic oscillator.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems · Spectral Theory in Mathematical Physics