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2010•Zeitschrift für Analysis und ihre AnwendungenOpen access

Some Comparison Theorems on Eigenvalues for One Dimensional Schrödinger Operators with Applications

Chie‐Ping Chu

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Abstract

For one dimensional Schrödinger operators, in terms of local behavior of the potential, we give some comparison theorems for their eigenvalues. As an application, some monotone properties of the first eigenvalue of stepfunction potentials are given.

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For one dimensional Schrödinger operators, in terms of local behavior of the potential, we give some comparison theorems for their eigenvalues. As an application, some monotone properties of the first eigenvalue of stepfunction potentials are given.

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Available abstract

For one dimensional Schrödinger operators, in terms of local behavior of the potential, we give some comparison theorems for their eigenvalues. As an application, some monotone properties of the first eigenvalue of stepfunction potentials are given.

Key concepts: Eigenvalues and eigenvectors, Schrödinger's cat, Monotone polygon, Mathematics, Pure mathematics, Operator (biology), Mathematical analysis, Physics

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