Complex trajectories in the quartic oscillator and its semiclassical coherent-state propagator

DOI10.1006/APHY.1996.0141zbMath0891.47056OpenAlexW2041048689MaRDI QIDQ1379338

Marcus A. M. de Aguiar, Ademir Luis jun. Xavier

Publication date: 25 February 1998

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

Full work available at URL: https://semanticscholar.org/paper/5bf78c071a7e5590b7ede314690505fb7a9f6405

zbMATH Keywords

semiclassical approximationcoherent-state propagatorcomplex trajectoriesone-dimensional polynomial potentials

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (15)

Some remarks on complex Hamiltonian systems ⋮ Complex dynamical invariant for a \(\mathcal{PT}\)-symmetric Hamiltonian system in higher dimensions ⋮ Higher order polynomial complex invariants for one-dimensional anharmonic potentials ⋮ Classical oscillator with position-dependent mass in a complex domain ⋮ From the coherent state path integral to a semiclassical initial value representation of the quantum mechanical propagator ⋮ Biorthogonal quantum systems ⋮ Real description of classical Hamiltonian dynamics generated by a complex potential ⋮ Construction of complex invariants for classical dynamical systems ⋮ Semiclassical Ehrenfest paths ⋮ Relationship between singularities in classical mechanics for complex initial conditions and for complex time ⋮ Solving the boundary value problem for finite Kirchhoff rods ⋮ Complex invariants for some time-independent and time-dependent classical systems ⋮ Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics ⋮ Real trajectories in the semiclassical coherent state propagator ⋮ A novel algebraic approach for the Schrödinger equation in split quaternionic mechanics

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