Independent-cluster parametrizations of wave functions in model field theories. I: Introduction to their holomorphic representations

DOI10.1016/0003-4916(91)90183-9zbMath0816.58014OpenAlexW1971387664MaRDI QIDQ1326238

R. F. Bishop, J. S. Arponen

Publication date: 21 May 1995

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

Full work available at URL: https://www.research.manchester.ac.uk/portal/en/publications/independentcluster-parametrizations-of-wave-functions-in-model-field-theories-i-introduction-to-their-holomorphic-representations(ec45c1ae-5fd6-4ca3-a6b8-ed3617f8e5b9).html

zbMATH Keywords

perturbation theoryquantum field theorySchrödinger equationphase transformationstopologyquantum mechanicsWKB approximationwave functionscoherent statessymmetry breakingmany-body problemparametric analysissqueezed statesquantum operators

Mathematics Subject Classification ID

Model quantum field theories (81T10) Hamilton's equations (70H05) Symmetry breaking in quantum theory (81R40) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) (n)-body problems (70F10) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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Cites Work

• Derivation of the Brueckner many-body theory
• Short-range correlations in nuclear wave functions
• Holomorphic representation of a set of supercoherent canonical coordinates for a quantum oscillator with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>K</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>anharmonicity
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
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