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Quantum bifurcations (Q6599403)

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scientific article; zbMATH DE number 7907942

Language	Label	Description	Also known as
English	Quantum bifurcations	scientific article; zbMATH DE number 7907942

Statements

scholarly article

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Quantum bifurcations (English)

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Boris I. Zhilinskií

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publication date

6 September 2024

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zbMATH Keywords

monodromy

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quantum bifurcations

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effective Hamiltonians

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MaRDI profile type

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Modes and quasimodes

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Remarks on eigenvalues and eigenvectors of Hermitian matrices, Berry phase, adiabatic connections and quantum Hall effect

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Singular Bohr–Sommerfeld rules for 2D integrable systems

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The quantum mechanical spherical pendulum

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Monodromy in the hydrogen atom in crossed fields

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On global action-angle coordinates

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The monodromy in the Hamiltonian Hopf bifurcation

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Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields

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Analysis of Rotation--Vibration Relative Equilibria on the Example of a Tetrahedral Four Atom Molecule

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Fractional monodromy in the \(1\:- 2\) resonance

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Classification of perturbations of the hydrogen atom by small static electric and magnetic fields

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Topological properties of the Born-Oppenheimer approximation and implications for the exact spectrum

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Topologically coupled energy bands in molecules

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Monodromy of the quantum 1:1:2 resonant swing spring

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Quantum entanglement and fixed-point bifurcations

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Symmetry, invariants, topology. Basic tools

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Rydberg states of atoms and molecules. Basic group theoretical and topological analysis

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Periodic solutions near equilibria of symmetric Hamiltonian systems

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Relation between the critical points of a real function of \(n\) independent variables.

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Fractional Hamiltonian monodromy

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Monodromy, diabolic points, and angular momentum coupling

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Hamiltonian systems with detuned 1:1:2 resonance: manifestation of bidromy

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The classical limit of quantum partition functions

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A quantum saddle-node bifurcation in a \(1\: 1\) resonant perturbed oscillator with four parameters

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The Hamiltonian Hopf bifurcation

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Quantum monodromy in integrable systems

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Moment polytopes for symplectic manifolds with monodromy

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Quantum monodromy in prolate ellipsoidal billiards

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Symmetry, invariants, and topology in molecular models

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Hamiltonian Monodromy as Lattice Defect

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Identifiers

zbMATH Open document ID

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10.1007/978-1-0716-2621-4_425

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6599403

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