Journal of Differential Equations, ISSN 0022-0396, 12/2014, Volume 257, Issue 12, pp. 4600 - 4631

In the context of complex WKB analysis, we discuss a one-dimensional Schrödinger equation where , are analytic near the origin , , and is a factorially...

Complex WKB | Anharmonic oscillator | MATHEMATICS

Complex WKB | Anharmonic oscillator | MATHEMATICS

Journal Article

NEW JOURNAL OF PHYSICS, ISSN 1367-2630, 12/2008, Volume 10

We consider a nanomechanical analogue of a nonlinear interferometer, consisting of two parallel, flexural nanomechanical resonators, each with an intrinsic...

INTERFEROMETER | PHYSICS, MULTIDISCIPLINARY | ANHARMONIC-OSCILLATOR | LIMIT

INTERFEROMETER | PHYSICS, MULTIDISCIPLINARY | ANHARMONIC-OSCILLATOR | LIMIT

Journal Article

Nature Communications, ISSN 2041-1723, 09/2016, Volume 7, Issue 1, p. 12842

Water is characterized by large molecular electric dipole moments and strong interactions between molecules; however, hydrogen bonds screen the dipole-dipole...

DYNAMIC SUSCEPTIBILITY | CLASSICAL ANHARMONIC-OSCILLATOR | ABSORPTION-SPECTROSCOPY | ICE-NANOTUBES | TEMPERATURE | PHASE-TRANSITIONS | MULTIDISCIPLINARY SCIENCES | CRYSTALS | MODEL | ORDER-DISORDER | CARBON NANOTUBES

DYNAMIC SUSCEPTIBILITY | CLASSICAL ANHARMONIC-OSCILLATOR | ABSORPTION-SPECTROSCOPY | ICE-NANOTUBES | TEMPERATURE | PHASE-TRANSITIONS | MULTIDISCIPLINARY SCIENCES | CRYSTALS | MODEL | ORDER-DISORDER | CARBON NANOTUBES

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 03/2018, Volume 59, Issue 3, p. 32101

Exact analytical solutions of the Schrödinger equation for a two-dimensional purely sextic double-well potential are proved to exist for a denumerably infinite...

STATES | SOLVABLE PROBLEMS | ENERGY-LEVELS | ANHARMONIC-OSCILLATOR | ORTHOGONAL POLYNOMIALS | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL

STATES | SOLVABLE PROBLEMS | ENERGY-LEVELS | ANHARMONIC-OSCILLATOR | ORTHOGONAL POLYNOMIALS | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 01/2019, Volume 60, Issue 1, p. 12103

The number of quantum systems for which the stationary Schrodinger equation is exactly solvable is very limited. These systems constitute the basic elements of...

ANHARMONIC-OSCILLATOR | POTENTIALS | EIGENENERGIES | PHYSICS, MATHEMATICAL | ENERGY EIGENVALUES | Perturbation theory | Interpolation | Approximation | Numerical methods | Schroedinger equation | Polynomials | Quantum theory

ANHARMONIC-OSCILLATOR | POTENTIALS | EIGENENERGIES | PHYSICS, MATHEMATICAL | ENERGY EIGENVALUES | Perturbation theory | Interpolation | Approximation | Numerical methods | Schroedinger equation | Polynomials | Quantum theory

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 09/2015, Volume 92, Issue 3

We study photon blockade and antibunching in the cavity of an optomechanical system in which the mechanical resonator is coupled to a two-level system (TLS)....

QUANTUM GROUND-STATE | MECHANICAL RESONATOR | ONE-ATOM | ELECTRODYNAMICS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | ANHARMONIC-OSCILLATOR | GENERATION | CAVITY OPTOMECHANICS | BACK-ACTION | OPTICS | OPTICAL PHOTONS | CIRCUIT | Physics - Quantum Physics

QUANTUM GROUND-STATE | MECHANICAL RESONATOR | ONE-ATOM | ELECTRODYNAMICS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | ANHARMONIC-OSCILLATOR | GENERATION | CAVITY OPTOMECHANICS | BACK-ACTION | OPTICS | OPTICAL PHOTONS | CIRCUIT | Physics - Quantum Physics

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2019, Volume 517, pp. 163 - 174

In this article, we present the thermodynamical properties of the anharmonic oscillator for unrelativistic and relativistic K–G equations in the presence of an...

K–G equation | Noncommutative plane | q-deformed superstatistics | Schrödinger equation | Anharmonic oscillator | K-G equation | KLEIN-GORDON EQUATION | Schrodinger equation | PARTICLE | PHYSICS, MULTIDISCIPLINARY | STATISTICS

K–G equation | Noncommutative plane | q-deformed superstatistics | Schrödinger equation | Anharmonic oscillator | K-G equation | KLEIN-GORDON EQUATION | Schrodinger equation | PARTICLE | PHYSICS, MULTIDISCIPLINARY | STATISTICS

Journal Article

Computer Physics Communications, ISSN 0010-4655, 10/2017, Volume 219, pp. 1 - 10

We propose a numerical method that permits us to compute the sum of a diverging series from only the first terms by generalizing the traditional Borel...

Borel technique | Diverging sums | ORDER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SERIES | FIELD-THEORY | ANHARMONIC-OSCILLATOR | PHYSICS, MATHEMATICAL | CRITICAL EXPONENTS

Borel technique | Diverging sums | ORDER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SERIES | FIELD-THEORY | ANHARMONIC-OSCILLATOR | PHYSICS, MATHEMATICAL | CRITICAL EXPONENTS

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 03/2013, Volume 87, Issue 3

Two Kerr-squeezed optical beams can be combined in a beam splitter to produce non-Gaussian continuous-variable entangled states. We characterize the...

STATES | QUANTUM | ANHARMONIC-OSCILLATOR MODEL | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SYSTEMS | CRITERION | OPTICS | Physics - Quantum Physics

STATES | QUANTUM | ANHARMONIC-OSCILLATOR MODEL | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SYSTEMS | CRITERION | OPTICS | Physics - Quantum Physics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2013, Volume 2013, Issue 10, pp. 1 - 35

A general quantum mechanical or quantum field theoretical system in the path integral formulation has both real and complex saddles (instantons and...

Solitons Monopoles and Instantons | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | Nonperturbative effects | Solitons monopoles and instantons | MULTI-INSTANTONS | ANHARMONIC-OSCILLATOR | QUANTUM-MECHANICS | LARGE-ORDER | PHYSICS, PARTICLES & FIELDS | Phase transformations | Integrals | Asymptotic properties | Mathematical analysis | Saddles | Constants | Mathematical models | Quantum gravity | Physics - High Energy Physics - Theory

Solitons Monopoles and Instantons | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | Nonperturbative effects | Solitons monopoles and instantons | MULTI-INSTANTONS | ANHARMONIC-OSCILLATOR | QUANTUM-MECHANICS | LARGE-ORDER | PHYSICS, PARTICLES & FIELDS | Phase transformations | Integrals | Asymptotic properties | Mathematical analysis | Saddles | Constants | Mathematical models | Quantum gravity | Physics - High Energy Physics - Theory

Journal Article

Physical Review Letters, ISSN 0031-9007, 09/2015, Volume 115, Issue 14, p. 143001

The Stark effect in hydrogen and the cubic anharmonic oscillator furnish examples of quantum systems where the perturbation results in a certain ionization...

RESUMMATION | HYDROGEN | SERIES | PHYSICS, MULTIDISCIPLINARY | EXPANSIONS | ELECTRODYNAMICS | SUMMATION | CONVERGENCE | ANHARMONIC-OSCILLATOR | APPROXIMANTS | RESONANCES | Perturbation theory | Approximation | Perturbation methods | Mathematical analysis | Eigenvalues | Constants | Joining | Quantum theory

RESUMMATION | HYDROGEN | SERIES | PHYSICS, MULTIDISCIPLINARY | EXPANSIONS | ELECTRODYNAMICS | SUMMATION | CONVERGENCE | ANHARMONIC-OSCILLATOR | APPROXIMANTS | RESONANCES | Perturbation theory | Approximation | Perturbation methods | Mathematical analysis | Eigenvalues | Constants | Joining | Quantum theory

Journal Article

JOURNAL OF CHEMICAL PHYSICS, ISSN 0021-9606, 04/2016, Volume 144, Issue 14

A new quartic force field for the SO2 (C) over tilde B-1(2) state has been derived, based on high resolution data from (SO2)-O-16 and (SO2)-O-18. Included are...

TRANSITION | CONSTANTS | SPECTROSCOPY | 2-DIMENSIONAL ANHARMONIC-OSCILLATOR | ASYMMETRIC STRUCTURE | SULFUR-DIOXIDE | PREDISSOCIATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | FERMI RESONANCE-SPECTRA | MICROWAVE-SPECTRUM | MOLECULES

TRANSITION | CONSTANTS | SPECTROSCOPY | 2-DIMENSIONAL ANHARMONIC-OSCILLATOR | ASYMMETRIC STRUCTURE | SULFUR-DIOXIDE | PREDISSOCIATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | FERMI RESONANCE-SPECTRA | MICROWAVE-SPECTRUM | MOLECULES

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 08/2017, Volume 58, Issue 8, p. 82101

Superoscillations, i.e., the phenomenon that a bandlimited function can temporary oscillate faster than its highest Fourier component, are being much discussed...

PHYSICS, MATHEMATICAL | ANHARMONIC-OSCILLATOR | Distillation | Time dependence | Energy dissipation | Signal processing | Resonance | High frequencies | Low frequencies | Microphysics

PHYSICS, MATHEMATICAL | ANHARMONIC-OSCILLATOR | Distillation | Time dependence | Energy dissipation | Signal processing | Resonance | High frequencies | Low frequencies | Microphysics

Journal Article

Annals of Physics, ISSN 0003-4916, 10/2019, Volume 409, p. 167924

We discuss fundamental properties of the fastest apparent convergence (FAC) condition which is used as a variational criterion in optimized perturbation theory...

Perturbation theory | Lefschetz thimble | SERIES | PHYSICS, MULTIDISCIPLINARY | APPROXIMATIONS | DELTA-EXPANSION | PROOF | ANHARMONIC-OSCILLATOR | MODEL | ZEROS

Perturbation theory | Lefschetz thimble | SERIES | PHYSICS, MULTIDISCIPLINARY | APPROXIMATIONS | DELTA-EXPANSION | PROOF | ANHARMONIC-OSCILLATOR | MODEL | ZEROS

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 01/2020, Volume 278, Issue 2, p. 108316

We consider the semiclassical Schrödinger equation on given by where is an anharmonic trapping of the form , is an integer and is a semiclassical small...

Semiclassical approximation | Quantum anharmonic oscillator | Coherent states | Growth of Sobolev norms | MATHEMATICS | NLS | BOUNDEDNESS | Quantum anharrnonic oscillator | NONLINEAR SCHRODINGER-EQUATION | MOTIONS

Semiclassical approximation | Quantum anharmonic oscillator | Coherent states | Growth of Sobolev norms | MATHEMATICS | NLS | BOUNDEDNESS | Quantum anharrnonic oscillator | NONLINEAR SCHRODINGER-EQUATION | MOTIONS

Journal Article

16.
Full Text
Fast summation of divergent series and resurgent transseries from Meijer- G approximants

Physical Review D, ISSN 2470-0010, 05/2018, Volume 97, Issue 10

We develop a resummation approach based on Meijer-G functions and apply it to approximate the Borel sum of divergent series and the Borel-Ecalle sum of...

RESUMMATION | GAUSSIAN CORE MODEL | PERTURBATION-THEORY | EXPANSIONS | ASTRONOMY & ASTROPHYSICS | HIGH-TEMPERATURE | ANHARMONIC-OSCILLATOR | BOREL SUMMABILITY | LARGE-ORDER | CRITICAL EXPONENTS | PHYSICS, PARTICLES & FIELDS

RESUMMATION | GAUSSIAN CORE MODEL | PERTURBATION-THEORY | EXPANSIONS | ASTRONOMY & ASTROPHYSICS | HIGH-TEMPERATURE | ANHARMONIC-OSCILLATOR | BOREL SUMMABILITY | LARGE-ORDER | CRITICAL EXPONENTS | PHYSICS, PARTICLES & FIELDS

Journal Article

Computational and Theoretical Chemistry, ISSN 2210-271X, 07/2014, Volume 1039, pp. 55 - 61

Harmonic oscillator approximation is usually used to calculate the partition function for low frequency modes that represent hindered internal rotation....

Thermodynamics | Thermochemistry | Internal rotation | Nitroalkanes | Anharmonic oscillator

Thermodynamics | Thermochemistry | Internal rotation | Nitroalkanes | Anharmonic oscillator

Journal Article

NUCLEAR PHYSICS B, ISSN 0550-3213, 09/2016, Volume 910, pp. 469 - 495

Perturbative QCD with n(f) flavours of massless quarks becomes simple in the hypothetical limit n (f) -> 161/2, where the leading beta-function coefficient...

ZERO DIMENSIONS | MINIMAL SENSITIVITY | FIELD-THEORIES | DELTA-EXPANSION | CONNECTED VACUUM AMPLITUDE | ANHARMONIC-OSCILLATOR | EFFECTIVE CHARGES | LOW ENERGIES | ALTERNATIVE IMPLEMENTATION | INFRARED FIXED-POINT | PHYSICS, PARTICLES & FIELDS

ZERO DIMENSIONS | MINIMAL SENSITIVITY | FIELD-THEORIES | DELTA-EXPANSION | CONNECTED VACUUM AMPLITUDE | ANHARMONIC-OSCILLATOR | EFFECTIVE CHARGES | LOW ENERGIES | ALTERNATIVE IMPLEMENTATION | INFRARED FIXED-POINT | PHYSICS, PARTICLES & FIELDS

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 12/2018, Volume 33, Issue 36, p. 1850216

It is analyzed the influence of a fixed background that breaks the Lorentz symmetry on the scalar field in the nonrelativistic regime. It is considered a...

double anharmonic oscillator | Lorentz symmetry violation | magnetization | tensor background | induced electric field | BREAKING | CPT-ODD | PARTICLE | PHYSICS, NUCLEAR | ANHARMONIC-OSCILLATOR | PHYSICS, PARTICLES & FIELDS

double anharmonic oscillator | Lorentz symmetry violation | magnetization | tensor background | induced electric field | BREAKING | CPT-ODD | PARTICLE | PHYSICS, NUCLEAR | ANHARMONIC-OSCILLATOR | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Physics Condensed Matter, ISSN 0953-8984, 04/2018, Volume 30, Issue 18, p. 185303

In a two dimensional free electron gas subjected to a perpendicular spatially varying magnetic field, the classical paths of electrons are snake-like...

double oscillator | Landau levels | quantum tunneling | snake states | ORDER | PHYSICS, CONDENSED MATTER | ANHARMONIC-OSCILLATOR | EDGE STATES | Physics - Mesoscale and Nanoscale Physics

double oscillator | Landau levels | quantum tunneling | snake states | ORDER | PHYSICS, CONDENSED MATTER | ANHARMONIC-OSCILLATOR | EDGE STATES | Physics - Mesoscale and Nanoscale Physics

Journal Article

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