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Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Semiclassical quantum mechanics
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The classical limit for quantum mechanical correlation functions
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The Selberg Trace Formula for PSL(2,ℝ)
inferredcites →https://doi.org/10.1016/0003-4916(74)90421-7openalex-snapshot
Solution of the Schrödinger equation in terms of classical paths
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Quantizing a classically ergodic system: Sinai's billiard and the KKR method
inferredcites →https://doi.org/10.1039/dc9837500117openalex-snapshot
Pulsed laser preparation and quantum superposition state evolution in regular and irregular systems
inferredcites →https://doi.org/10.1063/1.1665596openalex-snapshot
Periodic Orbits and Classical Quantization Conditions
inferredcites →https://doi.org/10.1063/1.432974openalex-snapshot
Classical S-matrix limit of wave packet dynamics
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Quantum intramolecular dynamics: Criteria for stochastic and nonstochastic flow
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Molecular spectra, Fermi resonances, and classical motion
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Calculating the bound spectrum by path summation in action-angle variables
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Closed orbits and the regular bound spectrum
inferredcites →https://doi.org/10.1103/physrevlett.42.1189openalex-snapshot
Spectrum and Eigenfunctions for a Hamiltonian with Stochastic Trajectories

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Saddle point resonances in a bound system with classical chaos
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The phase-space hydrodynamic model for the quantum standard map
inferred← citeshttps://doi.org/10.1016/0038-1101(95)00204-9openalex-snapshot
Quantum chaotic transport in double barrier tunnel structures
inferred← citeshttps://doi.org/10.1016/0039-6028(94)90940-7openalex-snapshot
Conductance fluctuations in a quantum dot in the tunneling regime: Crossover from aperiodic to regular behavior
inferred← citeshttps://doi.org/10.1016/0039-6028(94)90942-3openalex-snapshot
Weak localization and conductance fluctuations in a chaotic quantum dot
inferred← citeshttps://doi.org/10.1016/0039-6028(96)00522-5openalex-snapshot
Multifractal statistics of eigenstates of 2D disordered conductors
inferred← citeshttps://doi.org/10.1016/0167-2789(87)90011-xopenalex-snapshot
Multidimensional tunnelling between excited states
inferred← citeshttps://doi.org/10.1016/0167-2789(88)90075-9openalex-snapshot
Smoothed wave functions of chaotic quantum systems
inferred← citeshttps://doi.org/10.1016/0167-2789(89)90005-5openalex-snapshot
Hamiltonian transport on unstable periodic orbits
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90097-sopenalex-snapshot
Exact theory for the quantum eigenstates of a strongly chaotic system
inferred← citeshttps://doi.org/10.1016/0167-2789(92)90053-popenalex-snapshot
The problem of quantum integrability
inferred← citeshttps://doi.org/10.1016/0167-2789(92)90176-nopenalex-snapshot
A numerical method for locating stable periodic orbits in chaotic systems
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90255-yopenalex-snapshot
Statistical properties of highly excited quantum eigenstates of a strongly chaotic system
inferred← citeshttps://doi.org/10.1016/0167-2789(94)00254-nopenalex-snapshot
Quantum corrals
inferred← citeshttps://doi.org/10.1016/0167-2789(94)00261-nopenalex-snapshot
Microwave “ionization” of excited hydrogen atoms: How nonclassical local stability brought about by scarred separatrix states is affected by broadband noise and by varying the pulse envelope
inferred← citeshttps://doi.org/10.1016/0167-2789(94)00267-topenalex-snapshot
A standard perspective on ghosts
inferred← citeshttps://doi.org/10.1016/0167-2789(96)00040-1openalex-snapshot
Statistical measures for eigenfunctions of nonseparable quantum billiard systems
inferred← citeshttps://doi.org/10.1016/0168-583x(95)01452-7openalex-snapshot
Quantum chaos in channeling
inferred← citeshttps://doi.org/10.1016/0301-0104(89)80111-9openalex-snapshot
Study of molecular phase space structure through families of periodic orbits
inferred← citeshttps://doi.org/10.1016/0301-0104(89)80235-6openalex-snapshot
Semiclassical theory of hyperspherical vibrational resonances in ABA molecules
inferred← citeshttps://doi.org/10.1016/0301-0104(91)89042-9openalex-snapshot
Periodic orbits and quantum localization in the van der Waals system COAr
inferred← citeshttps://doi.org/10.1016/0301-0104(92)87060-mopenalex-snapshot
The importance of periodic orbits in analysing photodissociation resonances: the O3 case
inferred← citeshttps://doi.org/10.1016/0301-0104(94)00352-bopenalex-snapshot
Short time quantum phase space dynamics at a 1:2 Fermi resonance
inferred← citeshttps://doi.org/10.1016/0370-1573(86)90103-1openalex-snapshot
The semiclassical evolution of wave packets
inferred← citeshttps://doi.org/10.1016/0370-1573(88)90130-5openalex-snapshot
Quantum mechanics of classically non-integrable systems
inferred← citeshttps://doi.org/10.1016/0370-1573(89)90121-xopenalex-snapshot
The hydrogen atom in a uniform magnetic field — An example of chaos
inferred← citeshttps://doi.org/10.1016/0370-1573(90)90067-copenalex-snapshot
Simple models of quantum chaos: Spectrum and eigenfunctions
inferred← citeshttps://doi.org/10.1016/0370-1573(91)90113-zopenalex-snapshot
Chaotic ionization of highly excited hydrogen atoms: Comparison of classical and quantum theory with experiment
inferred← citeshttps://doi.org/10.1016/0370-1573(93)90109-qopenalex-snapshot
Manifestations of classical phase space structures in quantum mechanics
inferred← citeshttps://doi.org/10.1016/0370-1573(94)00081-dopenalex-snapshot
Quantum nonintegrability in finite systems
inferred← citeshttps://doi.org/10.1016/0370-1573(94)00093-iopenalex-snapshot
The importance of resonances in microwave “ionization” of excited hydrogen atoms
inferred← citeshttps://doi.org/10.1016/0370-1573(95)00073-9openalex-snapshot
Spectral statistics for 1-D disordered systems: a semiclassical approach
inferred← citeshttps://doi.org/10.1016/0370-2693(85)90260-6openalex-snapshot
Yang-Mills quantum mechanics
inferred← citeshttps://doi.org/10.1016/0370-2693(91)91442-xopenalex-snapshot
Chaos and symmetry in the interacting boson model
inferred← citeshttps://doi.org/10.1016/0375-9474(92)90483-zopenalex-snapshot
Aspects of quantum chaos
inferred← citeshttps://doi.org/10.1016/0375-9474(94)00787-nopenalex-snapshot
Effective group structure in the interacting boson model
inferred← citeshttps://doi.org/10.1016/0375-9474(94)00828-bopenalex-snapshot
Chaotic motion at the nuclear Coulomb barrier; a quantal analysis
inferred← citeshttps://doi.org/10.1016/0375-9601(86)90403-2openalex-snapshot
Fat fractals in quantum chaos
inferred← citeshttps://doi.org/10.1016/0375-9601(90)90165-kopenalex-snapshot
Scars in billiards: The phase space approach
inferred← citeshttps://doi.org/10.1016/0375-9601(91)90576-topenalex-snapshot
The amplitude distribution - a periodic orbit theory approach
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