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What Is an “Essentially Self-Adjoint” Operator?
A brief introduction to the definition of an essentially self-adjoint operator in a Hilbert space is given.
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Localization of polynomial long-range hop** lattice operator with uniform electric fields
In this paper, we study a polynomial long-range hop** lattice operator with uniform electric fields under perturbation. We prove that, for small...
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Trace of the Resolvent of the Laplace Operator on a Metric Graph
AbstractIn the paper, using Krein’s resolvent formula, we find an asymptotics of the resolvent of the trace of the Laplace operator on a metric...
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Schrödinger operator in a half-plane with the Neumann condition on the boundary and a singular \(\delta\)-potential supported by two half-lines, and systems of functional-difference equations
AbstractWe study the asymptotics with respect to distance for the eigenfunction of the Schrödinger operator in a half-plane with a singular
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The growth of operator entropy in operator growth
We study upper bounds on the growth of operator entropy S K in operator growth. Using uncertainty relation, we first prove a dispersion bound on the...
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Hydrogen Atom Second Solution: Physical and Chemical Interpretations
We mainly study the ground state of the hydrogen atom in terms of the second kind of Legendre functions. We use a special self-adjoint transformation...
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On the Mass Dependence of the Modular Operator for a Double Cone
We present a numerical approximation scheme for the Tomita–Takesaki modular operator of local subalgebras in linear quantum fields, working at...
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Quantum Instruments and Positive Operator Valued Measures
In this chapter, we start the journey to the complex world of quantum instruments. First, we reformulate the standard von Neumann measurement theory...
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Almost Everything About the Unitary Almost Mathieu Operator
We introduce the unitary almost-Mathieu operator, which is obtained from a two-dimensional quantum walk in a uniform magnetic field. We exhibit a...
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Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles
We develop an operator approach to the evaluation of multiple integrals for multiloop Feynman massless diagrams. A commutative family of graph...
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Vertex operator algebras and topologically twisted Chern-Simons-matter theories
We consider several topologically twisted Chern-Simons-matter theories and propose boundary VOAs whose module categories should model the category of...
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On the Absence of Bound States for a Planar Massless Brown–Ravenhall-Type Operator
We address the question of the existence of bound states for a suitably projected two-dimensional massless Dirac operator in the presence of a...
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Sensitive visualization, traveling wave structures and nonlinear self-adjointness of Cahn–Allen equation
This study covers the traveling wave analysis of the two-mode Cahn–Allen (TMCA) equation. The TMCA model plays the role of transmitting information...
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Sato Theory and Transformation Groups. A Unified Approach to Integrable Systems
More than 20 years ago, it was discovered that the solutions of the Kadomtsev-Petviashvili (KP) hierarchy constitute an infinite-dimensional...
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Anomaly inflow of Rarita–Schwinger field in 3 dimensions
We study the anomaly inflow of the Rarita–Schwinger field with gauge symmetry in 3 dimensions. We find that global anomalies of the Rarita–Schwinger...
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Complete NNLO operator bases in Higgs effective field theory
For the first time, we list the complete and independent set of operators at the next-to-next-to-leading order (NNLO) in the Higgs effective field...
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Self duality in unconventional conformal supersymmetry
In this work, we study (anti-)self duality conditions in unconventional conformal supersymmetry. We focus on a theory constructed in a...