【摘 要】
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Conventionally,the virial theorem(about the ratio of the total kinetic energy and the total potential energy)is useful to get the eigenvalue estimate of lin
【出 处】
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非线性偏微分方程和数学物理研讨会(NPDEMP 2016)
论文部分内容阅读
Conventionally,the virial theorem(about the ratio of the total kinetic energy and the total potential energy)is useful to get the eigenvalue estimate of linear Schrodinger equations,which is important in quantum mechanics.Until now,there is no general method to study the eigenvalue estimate of nonlinear Schrodinger equations.Here we use the Pohozaev identity to develop the virial theorem and eigenvalue estimate of nonlinear Schrodinger equations with square-root and saturable nonlinearity,which describe photorefractive mediums,narrow-gap semiconductors and graphene metamaterials.
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