Time‐dependent dissipation in nonlinear Schrödinger systems
Time‐dependent dissipation in nonlinear Schrödinger systems
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DOI：
10.1063/1.531120
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发表时间：
1995-03
影响因子：
1.3
通讯作者：
H. Lange;B. Toomire;P. Zweifel
中科院分区：
文献类型：
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作者：
H. Lange;B. Toomire;P. Zweifel
考虑了一个耦合的非线性薛定谔-泊松方程，它包含一个含时耗散函数，作为非线性量子输运理论和其他领域中耗散效应的一个特定模型.导出了与该系统相关的Wigner-Poisson方程。利用守恒律和拟一致性律以及对非线性项和耗散函数的某些增长假设，证明了含时Schrodinger-Poisson系统的Cauchy问题的整体解的存在性，无论是对于小数据（吸引情形）还是任意数据（排斥情形）.
A coupled nonlinear Schrodinger–Poisson equation is considered which contains a time‐dependent dissipation function as a specific model of dissipation effects in nonlinear quantum transport theory and other areas. The Wigner–Poisson equation associated with this system is derived. Using conservation and quasiconservation laws and certain growth assumptions for the nonlinearities and the dissipation function, global existence of solutions to the Cauchy problem of the time‐dependent Schrodinger–Poisson system is shown both for small (attractive case) or arbitrary data (repulsive case).