Abstract
AbstractWe establish an explicit lower bound on the spectral gap of one-dimensional Schrödinger operators with non-negative bounded potentials and subject to Neumann boundary conditions. In addition, for a smaller class of potentials, we provide an improved lower bound which holds on large intervals.
Publisher
Springer Science and Business Media LLC
Reference10 articles.
1. Ashbaugh, M.S., Benguria, R.: Optimal lower bound for the gap between the first two eigenvalues of one-dimensional Schrödinger operators with symmetric single-well potentials. Proc. Amer. Math. Soc. 105(2), 419–424 (1989)
2. Abramovich, S.: The gap between the first two eigenvalues of a one-dimensional Schrödinger operator with symmetric potential. Proc. Amer. Math. Soc. 111(2), 451–453 (1991)
3. Andrews, B., Clutterbuck, J., Hauer, D.: The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions. Proc. Amer. Math. Soc. 149, 1481–1493 (2021)
4. Ashbaugh, M.S., Kielty, D.: Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials. J. Math. Phys. 61(9), 091507 (2020)
5. Berhanu, S., Mohammed, A.: A Harnack inequality for ordinary differential equations. Amer. Math. Monthly 112(1), 32–41 (2005)
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