Internal Lifschitz Tails
نویسنده
چکیده
Many years ago, E. M. Lifschitz argued that the integrated density of states at the edge of the spectrum of a random system in v dimensions should vanish roughly as exp[ ( E Eo)-V/2]. The rigorous proof of Lifschitz tails is a problem that interested Mark Kac over a period of time (see, e.g., Refs. 2 and 3). During the period I knew Mark, ! invariably enjoyed my interactions with him, and I am pleased to dedicate this paper to his memory. I will consider the simplest case of a random quantum Hamiltonian, the v-dimensional Anderson model: The underlying Hilbert space is 12(Zv). The Hamiltonian is
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تاریخ انتشار 1986