12 citations · 29 across the 13 of their papers we have counts for
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A Hardy's Uncertainty Principle Lemma in Weak Commutation Relations of Heisenberg-Lie Algebra
Toshimitsu Takaesu
In this article we consider linear operators satisfying a generalized commutation relation of a type of the Heisenberg-Lie algebra. It is proven that a generalized inequality of th…
Essential Self-Adjointness of Anti-Commutative Operators
Toshimitsu Takaesu
In this article, the self-adjoint extensions of symmetric operators satisfying anti-commutation relations are considered. It is proven that an anti-commutative type of the Glimm-Ja…
Scaling Limits for the System of Semi-Relativistic Particles Coupled to a Scalar Bose Field
Toshimitsu Takaesu
In this paper the Hamiltonian for the system of semi-relativistic particles interacting with a scalar bose field is investigated. A scaled total Hamiltonian of the system is define…
Scaling limits with a removal of ultraviolet cutoffs for semi-relativistic particles system coupled to a scalar Bose field
Toshimitsu Takaesu
The system of semi-relativistic particles coupled to a scalar Bose field is considered. A scaled total Hamiltonian for the system is a self-adjoint operator on a tensor product of…