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Reed, M. and Simon, B. (1978) Methods of Modern Mathematical Physics Ser.: Analysis of Operators.

has been cited by the following article:

• TITLE: Bound States of a System of Two Fermions on Invariant Subspace

  AUTHORS: J. I. Abdullaev, A. M. Toshturdiev

  KEYWORDS: Hamiltonian, Fermion, Bound State, Shrödinger Operator, Invariant Subspace, Total Quasi-Momentum, Eigenvalue, Birman-Schwinger Principle

  JOURNAL NAME: Journal of Modern Physics, Vol.12 No.1, January 14, 2021

  ABSTRACT: We consider a Hamiltonian of a system of two fermions on a three-dimensional lattice Z3 with special potential . The corresponding Shrödinger operator H(k) of the system has an invariant subspac L-123(T3) , where we study the eigenvalues and eigenfunctions of its restriction H-123(k). Moreover, there are shown that H-123(k1, k2, π) has also infinitely many invariant subspaces , where the eigenvalues and eigenfunctions of eigenvalue problem are explicitly found.