UNFOLDING THE QUANTUM ARNOLD TRANSFORMATION

DOI10.1142/S0219887812600110zbMath1253.81050MaRDI QIDQ2911924

F. F. López-Ruiz, Francisco Cossío, Julio Guerrero, Victor Aldaya

Publication date: 3 September 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

time-dependent quadratic Hamiltoniansquantum Arnold transformation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Sharing symmetries in non-linear systems: Generalized Heisenberg–Weyl algebra on the de Sitter space-time out of the sphere S3 ⋮ Semiclassical interpretation of Wei–Norman factorization for SU(1, 1) and its related integral transforms

Cites Work

• Quantum integrals of motion for variable quadratic Hamiltonians
• The quantum Arnold transformation
• Harmonic states for the free particle
• Invariant Linearization Criteria for Systems of Cubically Nonlinear Second-Order Ordinary Differential Equations
• New classes of Schrödinger equations equivalent to the free particle equation through non-local transformations
• The projective geometric theory of systems of second-order differential equations: straightening and symmetry theorems

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