Search of exact invariants for \(\mathcal{PT}\) and non-\(\mathcal{PT}\)-symmetric complex Hamiltonian systems

DOI10.1016/j.amc.2013.03.067zbMath1343.37042OpenAlexW2053604842MaRDI QIDQ2016285

Jasvinderpal Singh Virdi

Publication date: 20 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.03.067

zbMATH Keywords

complex Hamiltoniancomplex invariant

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Dynamical systems over complex numbers (37F99)

Related Items (2)

Complex invariants for some time-independent and time-dependent classical systems ⋮ Dynamical invariants for time-dependent real and complex Hamiltonian systems

Cites Work

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• Exact solutions of the Schrödinger equation for an anharmonic potential in two dimensions
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• Hamiltonian maps in the complex plane
• Rotating, charged, and uniformly accelerating mass in general relativity
• Lie algebraic approach and quantum treatment of an anisotropic charged particle via the quadratic invariant
• Ground State of a Bose System of Hard Spheres
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

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