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Quantum Simulation
Open Quantum Systems Decoherence
Revisiting the quantum harmonic oscillator via unilateral Fourier transforms
arXiv
Authors: Pedro H. F. Nogueira, Antonio S. de Castro
Year
2015
Paper ID
26211
Status
Preprint
Abstract Read
~2 min
Abstract Words
59
Citations
N/A
Abstract
The literature on the exponential Fourier approach to the one-dimensional quantum harmonic oscillator problem is revised and criticized. It is shown that the solution of this problem has been built on faulty premises. The problem is revisited via the Fourier sine and cosine transform method and the stationary states are properly determined by requiring definite parity and square-integrable eigenfunctions.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2015 reference point for readers tracking recent quantum research.
- The literature on the exponential Fourier approach to the one-dimensional quantum harmonic oscillator problem is revised and criticized.
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