Self-adjointness and boundedness in quadratic quantization

DOI10.1063/1.4878497zbMath1292.81082arXiv1311.6351OpenAlexW2038564695MaRDI QIDQ5171355

Ameur Dhahri

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6351

zbMATH Keywords

second quantization

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (2)

Quadratic open quantum harmonic oscillator ⋮ \(C^*\)-quadratic quantization

Cites Work

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• Extending the Set of Quadratic Exponential Vectors
• Quadratic exponential vectors
• ON THE RELATION OF THE SQUARE OF WHITE NOISE AND THE FINITE DIFFERENCE ALGEBRA
• The group of automorphisms of L_∞is algebraically reflexive
• The quadratic Fock functor
• SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA

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