Existence and uniqueness of physical ground states
نویسندگان
چکیده
منابع مشابه
Existence of ground states for approximately inner two--parameter $C_0$--groups on $C^*$--algebras
In this paper, we generalize the definitions of approximately inner $C_0$-groups and their ground states to the two- parameter case and study necessary and sufficient conditions for a state to be ground state. Also we prove that any approximately inner two- parameter $C_0$--group must have at least one ground state. Finally some applications are given.
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Physically meaningful solutions to (1.1) have finite energy and, if they exist, one is interested in the least energy solution. In many significant cases, least energy solutions not only exist but they are positive and radially symmetric with respect to some point (the origin). With a slight abuse, mathematicians call a positive radial solution to (1.1) ground state. Starting with the paper of ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1972
ISSN: 0022-1236
DOI: 10.1016/0022-1236(72)90057-2