On a Model of Spontaneous Symmetry Breaking in Quantum Mechanics

DOI10.14529/MMP200301OpenAlexW3082093739MaRDI QIDQ3387340

Adriań Sotomayor, Alvaro Restuccia, Vladimir Strauss

Publication date: 12 January 2021

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyuru553

zbMATH Keywords

resolventbound statesoperator theoryspontaneous and radiative symmetry breakingsolution of wave equation

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Symmetry breaking in quantum theory (81R40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• Reflectionless potentials and point interactions in Pontryagin spaces
• Decoherence, einselection, and the quantum origins of the classical
• A new class of solvable models in quantum mechanics describing point interactions on the line
• Quantum mechanics of electrons in crystal lattices
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Lectures on Quantum Mechanics

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