An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator
Copyright policy )An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator
Ostrogradsky's method allows one to construct Hamiltonian formulation for a higher derivative system. An application of this approach to the Pais-Uhlenbeck oscillator yields the Hamiltonian which is unbounded from below. This leads to the ghost problem in quantum theory. In order to avoid this nasty feature, the technique previously developed in [Acta Phys. Polon. B 36 (2005) 2115] is used to construct an alternative Hamiltonian formulation for the multidimensional Pais-Uhlenbeck oscillator of arbitrary even order with distinct frequencies of oscillation. This construction is also generalized to the case of an N=2 supersymmetric Pais-Uhlenbeck oscillator.
Typos corrected. Published version
- Tomsk Polytechnic University Russian Federation
High Energy Physics - Theory, Nuclear and High Energy Physics, unbounded from below Hamiltonian, Supersymmetry and quantum mechanics, FOS: Physical sciences, QC770-798, Mathematical Physics (math-ph), High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, ghost problem, Higher-order theories for problems in Hamiltonian and Lagrangian mechanics, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis
High Energy Physics - Theory, Nuclear and High Energy Physics, unbounded from below Hamiltonian, Supersymmetry and quantum mechanics, FOS: Physical sciences, QC770-798, Mathematical Physics (math-ph), High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, ghost problem, Higher-order theories for problems in Hamiltonian and Lagrangian mechanics, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis
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