11 citations · 48 across the 20 of their papers we have counts for
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Note on the spectrum of discrete Schrödinger operators
Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai +1
The spectrum of discrete Schrödinger operator on the -dimensional lattice is considered, where denotes the discrete Laplacian and a delta function with mass at a s…
Multiplicity of the lowest eigenvalue of non-commuatative harmonic oscillators
Fumio Hiroshima, Itaru Sasaki
The multiplicity of the lowest eigenvalue E of the so-called non-commutative harmonic oscillator Q(α,β) is studied. It is shown that E is simple for αand βin some region.
Binding condition for a general class of quantum field Hamiltonians
Christian Gérard, Itaru Sasaki
We consider a system of a quantum particle interacting with a quantum field and an external potential $V(\bx)$. The Hamiltonian is defined by a quadratic form $H^V = H^0 + V(\bx)$,…
Enhanced Binding in Quantum Field Theory
Fumio Hiroshima, Itaru Sasaki, Herbert Spohn +1
This lecture note consists of three parts. Fundamental facts on Boson Fock space are introduced in Part I. Ref. 1.and 3. are reviewed in Part II and, Ref. 2. and 4. in Part III. In…
Enhanced binding of an N-particle system interacting with a scalar field II.Relativistic version
Fumio Hiroshima, Itaru Sasaki
An enhanced binding of -{\it relativistic} particles coupled to a massless scalar bose field is investigated. It is not assumed that the system has a ground state for the zero-c…