scientific article; zbMATH DE number 563022

zbMath0791.47057MaRDI QIDQ4290888

Gregory B. White

Publication date: 5 May 1994

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1993__59_3_269_0

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zbMATH Keywords

Coulomb-like potentialsformable operatorsPauli-Schrödinger resolventpotentials which are form bounded with respect to the momentum operatorpower series expansion of the Dirac resolvent in a complex variable

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (1)

A distinguished self-adjoint extension for the Dirac operator with strong local singularities and arbitrary behaviour at infinity

Cites Work

• Dirac and Klein-Gordon equations: Convergence of solutions in the nonrelativistic limit
• Self-adjoint operators
• Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms
• Applications of a commutation formula
• Perturbation of pseudoresolvents and analyticity in \(1/c\) in relativistic quantum mechanics
• The stability of matter: from atoms to stars
• On the relation between the eigenvalues in relativistic and non-relativistic quantum mechanics
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
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