Generalized Niederer's transformation for quantum Pais–Uhlenbeck oscillator
Copyright policy )Generalized Niederer's transformation for quantum Pais–Uhlenbeck oscillator
We extend, to the quantum domain, the results obtained in [Nucl. Phys. B 885 (2014) 150] and [Phys. Lett. B 738 (2014) 405] concerning the Niederer's transformation for the Pais-Uhlenbeck oscillator. Namely, the quantum counterpart (an unitary operator) of the transformation which maps the free higher derivatives theory into the Pais-Uhlenbeck oscillator is constructed. Some consequences of this transformation are discussed.
18 pages, minor changes, published version
- Department of Computer Science Spain
- University of Łódź Poland
- Department of Computer Sciences Austria
- Uniwersytet Łódzki (University of Lodz) Poland
Hamilton's equations, High Energy Physics - Theory, Nuclear and High Energy Physics, Nonlinear oscillations and coupled oscillators for ordinary differential equations, FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, QC770-798, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
Hamilton's equations, High Energy Physics - Theory, Nuclear and High Energy Physics, Nonlinear oscillations and coupled oscillators for ordinary differential equations, FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, QC770-798, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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