On the ground-state wave function of the one-dimensional polaron in the\n strong-coupling limit

2015/05/18 by Rohan Ghanta, Ghanta, Rohan
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Quantum and electron transport phenomena #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1505.04830

openalex publication_date 2015/05/18 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28

Abstract

We consider the one-dimensional Froehlich polaron localized in a symmetric\ndecreasing electric potential. It is known that the non-linear Pekar functional\ncorresponding to our model admits a unique minimizer. In the strong-coupling\nlimit, we show that any approximate ground-state wave function of our model-\nafter integrating out its phonon modes- converges in the weak sense to this\nunique minimizer.\n

Citations

• The polaron confined in one dimension
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Nodal solutions for the Choquard equation
• The ground state energy of a polaron in a strong magnetic field

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