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Lambert W Lines and Finite Square Well Sensors

2022/10/12 by K. Roberts, Roberts, Ken, N. Jisrawi +9
Engineering · Medicine · Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Quantum Physics (quant-ph) #Sports Dynamics and Biomechanics #Sports Performance and Training

paper · pdf · doi:10.48550/arxiv.2210.07359

openalex publication_date 2022/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The bound state energies of a 1-dimensional finite quantum square well (FSW) can be determined using a geometric method, involving a smooth mapping between two copies of the complex plane. The method allows one to identify particular strengths of the FSW at which the system can become unusually sensitive to changes in the well depth or geometry. In the present paper we explore that sensitivity, and exhibit a 3-D visualization of the solutions.

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