Stability of the D-Dimensional Nonlinear Schrodinger Equation under Confined Potential
スポンサーリンク
概要
- 論文の詳細を見る
XVe investig;tte the stability of tlae xv;rvef'trnctioza of' the D-diuaaettsional nonlit'rear Sc]ar6diragereqtration witlu hatrtaaonic poteuatial terrras. For tlae r'eptnlsive case, xve proxze that tlae wax'ef'trnctionis atbsoltrtely stalcle. For the attrarctixxe case, Icy extenditug the Zatklaarov's tlaeor3z, xve SIIONVtlue ezauergence of tlte sir?gularity of' tlae w'axzef'trrtctiotu, terzaued tl'ae collapse, in 21 fituite titaae. Tlaecozuditions ['or tlae coll?tpse inclttde ata exterasioua of' NX7eintsteira's for the " free" raotalineatr Schr6ditagerfield. Ftrrtlaer xve estimaaate 2111 trjoper bound of' tlae collajcse-tirt'xe xvhere tlae coll?tpse OCCL1I'S xvitl'notrtoscillations.
- 社団法人日本物理学会の論文
- 1999-05-15
著者
-
Miki Wadati
Department Of Physics Graduate School Of Science University Of Tokyo
-
Wadati M
Univ. Tokyo
-
Wadati M
Univ. Tsukuba
-
Tsurumi Takeya
Department Of Physics Graduate School Of Science University Of Tokyo
-
Wadati M
Tokyo Univ. Sci. Tokyo
-
Wadati Miki
Department Of Physics Faculty Of Science University Of Tokyo
-
Wadati Miki
Department Of Physics Graduate School Science University Of Tokyo
-
Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
-
WADATI Miki
Institute of Physics, College of Arts and Sciences University of Tokyo
-
WADATI Miki
Institute of Applied Physics, University of Tsukuba
関連論文
- 1/r^2相互作用系の代数的構造(低次元系の物性と場の理論,研究会報告)
- Statistical Mechanics of a One-Dimensional δ-function Bose Gas
- Bethe Ansatz Cluster Expansion Method for Quantum Integrable Particle Systems (General)
- Multicomponent Bright Solitons in F=2 Spinor Bose-Einstein Condensates(General)
- Supersymmetric Extension of the Reflection Equation Algebra and Integrable Boundary Conditions in Doped Spin-1 Model(General)
- Dark Solitons in F=1 Spinor Bose-Einstein Condensate(General)
- Wave Propagations in the F=1 Spinor Bose-Einstein Condensates(Atomic and Molecular Physics)
- Matter-Wave Solitons in an F = 1 Spinor Bose-Einstein Condensate(General)
- Phase Separation and Collective Excitations of Two-Component Bose-Einstein Condensates in Traps : General Physics
- Dynamics of Magnetically Trapped Boson-Fermion Mixtures : General Physics
- Ground State of a Bose-Einstein Condensate under Axially Symmetric Magnetic Trap
- Fermionic R-Operator Approach for the Small-Polaron Model with Open Boundary Condition
- Correlation Functions of the Asymmetric XXZ Chain and the Painleve V Equation
- Scalar Products of the Asymmetric XXZ Chain
- Stability of a Two-Component Bose-Einstein Condensate
- Stability of the D-Dimensional Nonlinear Schrodinger Equation under Confined Potential
- Spontaneous Magnetization in the Bounded XXZ Spin Chain
- Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial
- Rodrigues Formula for the Nonsymmetric Macdonald Polynomial
- Fock Spaces for the Calogero Models with Distinguishable Particles
- Soliton Propagation in a Bose-Einstein Condensate
- Singularity Formation and Self-Similar Solution in the Magnetically Trapped Bose-Einstein Condensate
- Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model
- Fermionic R-Operator for the Fermion Chain Model
- Coupled Nonlinear Schrodinger Equations for Two-Component Wave Systems
- Tri-Hamiltonian Structure and complete Integrability of Volterra Model
- The Quantum Calogero-Moser Model : Algebraic Structures
- Quantum Calogero-Moser Model and its Algebraic Structures(New Developments in Statistical Physics Similarities in Diversities,YITP Workshop)
- Integrability of the Quantum Calogero-Moser Model
- Grating Solitons in Optical Fiber
- Coupled Hybrid Nonlinear Schrodinger Equation and Optical Solitons
- Curve Lengthening Equation and Its Solutions
- Knot Theory and Conformal Field Theory : Reduction Relations for Braid Generators
- Electromagnetically Induced Transparency and Soliton Propagations(General)
- Exact Analysis of δ-Function Attractive Fermions and Repulsive Bosons in One-Dimension(General)
- Non-Hermitian Random Matrices and Integrable Quantum Hamiltonians
- Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial
- Infinite Symmetry of the One-Dimensional System with Inverse Square Interactions
- Matter-Wave Bright Solitons with a Finite Background in Spinor Bose-Einstein Condensates(General)
- Exact Analysis of a δ-Function Spin-1/2 Attractive Fermi Gas with an External Magnetic Field(General)
- Construction of Parity-Time Symmetric Potential through the Soliton Theory(General)
- Ground State Properties of a Toroidally Trapped Bose-Einstein Condensate : General Physics
- Integrability of Calogero-Moser Spin System
- The Coupled Modified Korteweg-de Vries Equations
- Exact Virial Expansion for the Quantum Calogero Model
- Collapses of Wavefunctions in Multi-Dimensional Coupled Nonlinear Schrodinger Equations under Harmonic Potentials
- Dynamic Matrix Product Ansatz and Bethe Ansatz Equation for Asymmetric Exclusion Process with Periodic Boundary
- One-Dimensional Asymmetric Exclusion Model with Open Boundaries
- Integrable Dynamics of Discrete Surfaces II
- Integrable Dynamics of Discrete Surfaces
- Correspondence between QISM and Exchange Operator Formalism
- Motion of Discrete Curves in the Plane
- Motion of Discrete Surfaces
- Thermal Bethe Ansatz and Fractional Statistics
- Fracture Dynamics by Quenching.I.Crack Patterns
- A New Approach to Noncommutative Soliton Equations(General)
- Deformation of Solitons in Random Media
- Inhomogenious Model for DNA Dynamics
- Exact Spectrum and Partition Function of SU (mn) Supersymmetric Polychronakos Model
- A New Approach to Quantum Spin Chains at Finite Temperature
- The Quantum Calogero Model and the W-Algebra
- Rodrigues Formula for Hi-Jack Symmetric Polynomials Associated with the Quantum Calogero Model
- Solutions of the Yang-Yang Integral Equation at Zero-Temperature
- Correlation Length for the XXZ Spin Chain at Finite Temperature
- Davey-Stewartson Equation and Properties of Dromion
- Link Polynomials Constructed from Solvable Models in Statistical Mechanics
- Solutions of the Yang-Yang Integral Equation at Zero-Temperature
- Soliton Solution and Its Property of Unstable Nonlinear Schrodinger Equation
- Crystallization of the Bogoyavlensky Lattice
- Eigenvalue Distribution of Random Matrices at the Spectrum Edge
- Level Spacing Distributions of Random Matrix Ensembles
- Correlation Functions for Jastrow-Product Wave Functions
- Level Statistics of Discrete Schrodinger Equations and Orthogonal Polynomials
- Ergodicity of Random Matrix Ensembles Related to Orthogonal Polynomials
- Correlation Functions of Random Matrix Ensembles Related to Classical Orthogonal Polynomials. III
- An Integration Method on Generalized Circular Ensembles
- Correlation Functions of Random Matrix Ensembles Related to Classical Orthogonal Polynomials. II
- Correlation Functions of Random Matrix Ensembles Related Classical to Orthogonal Polynomials
- Thermodynamics of Particle Systems Related to Random Matrices
- Bethe Ansatz Equation for the Hubbard Model with Boundary Fields
- Lax Pair for the Hubbard Model from the Yang-Baxter Relation
- Propagation of Solitons in Random Lattices
- A Coupled Nonlinear Schrodinger Equation and Optical Solitons
- Nonlinear Waves in Inhomogeneous Lattices
- Soliton Transmission and Reflection in Discontinuous Media
- The Rayleigh-Taylor Instability and Nonlinear Waves
- Construction of Integrable Spin Systems with Long-Range Interactions
- Noncommutative Extension of α^^--Dressing Method
- Superfluid-Mott Insulator Transition of Spinor Bose Gases with External Magnetic Fields (General)
- Free Fall of Atomic Laser Beam with Weak Inter-Atomic Interaction : General Physics
- Nonlinear Refraction and Reflection of Line Soliton Due to a Discontinuity
- A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities
- Higher Spin Cyclic Solid-on-Solid Models
- Lax Pairs for Four-Wave Interaction Systems
- Dilute and Semi-Dilute Solutions of Randomly Polymerized Membranes
- Collapses of Wavefunctions in Muiti-Dimensional Nonlinear Schrodinger Equations under Harmonic Potential
- Bose-Einstein Condensation of Ideal Bose Gases : General Physics
- Noncommutative KP Hierarchy and Hirota Triple-Product Relations(General)
- Solutions of the Lieb-Liniger Integral Equation(General)
- Free Expansion of a Bose-Einstein Condensate