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Aheart surgeon doesn’t need to grasp quantum mechanics to perform successful operations. Even chemists don’t always need to know these fundamental principles to study chemical reactions. But the worki...
Three-body exclusion principle, duality mapping, and exact ground state of a harmonically trapped, ultracold Bose gas with three-body hard-core interactions in one dimension
duality mapping exact ground state of a harmonically trapped ultracold Bose gas with three-body hard-core interactions
2010/11/19
Motivated by previous suggestions that three-body hard-core interactions in lower-dimensional
ultracold Bose gases might provide a way for creation of non-Abelian anyons, the exact ground
state of a...
Conformal Mapping and Bound States in Bent Waveguides
Conformal Mapping Bent Waveguides Quantum Physics
2010/11/8
Is it possible to trap a quantum particle in an open geometry? In this work we deal with the boundary value problem of the stationary Schroedinger (or Helmholtz) equation within a waveguide with strai...
Mapping theorem and Green functions in Yang-Mills theory
Mapping theorem Green functions Yang-Mills theory
2011/1/14
It is shown how, starting froma mapping theoremrecently proved between massless quartic scalar
field theory and Yang-Mills theory, both two-point functions and spectrum of the Yang-Mills
theory can ...
Duality mapping and unbinding transitions of semiflexible and directed polymers
Duality mapping unbinding transitions of semiflexible directed polymers
2010/11/19
Directed polymers (strings) and semiflexible polymers (filaments) are one-dimensional objects governed by tension and bending energy, respectively.They undergo unbinding transitions in the presence of...
Mapping between Hamiltonians with attractive and repulsive potentials on a lattice
Mapping Hamiltonians attractive repulsive potentials
2010/10/21
Through a simple and exact analytical derivation, we show that for a particle on a lattice, there is a one-to-one correspondence between the spectra in the presence of an attractive potential ˆ V...
Variable-Coefficient Mapping Method Based on Elliptical Equation
and Exact Solutions to Nonlinear Schrödinger Equations with
Variable Coefficient
variable-coefficient mapping method based on elliptical equation nonlinear Schrö dinger equation Jacobian elliptic function
solutions solitonic solutions trigonometric function solutions
2007/8/15
2006Vol.46No.4pp.656-662DOI:
Variable-Coefficient Mapping Method Based on Elliptical Equation
and Exact Solutions to Nonlinear Schrödinger Equations with
Variable Coefficient
...
Variable Separation Solutions in (1+1)-Dimensional and
(3+1)-Dimensional Systems via Entangled Mapping Approach
entangled mapping approach (1+1)-dimensional systems (3+1)-dimensional Burgers
system
2007/8/15
2006Vol.46No.3pp.389-392DOI:
Variable Separation Solutions in (1+1)-Dimensional and
(3+1)-Dimensional Systems via Entangled Mapping Approach
DAI Chao-Qing,1 YAN Cai-Jie,2 and ZHAN...
Explicit and Exact Solutions to N-Order Schrödinger System via an
Extended Mapping Approach
extended mapping approach Schrö dinger equation exact solution
2007/8/15
2006Vol.45No.3pp.483-486DOI:
Explicit and Exact Solutions to N-Order Schrödinger System via an
Extended Mapping Approach
ZHU Hai-Ping,1 ZHENG Chun-Long,1,2 and FANG Jian-Ping...
Exact Solution to (1+1)-Dimensional Higher-Order Schrödinger Equation via an Extended Mapping Approach
extended mapping approach Schrö dinger equation exact solution
2007/8/15
2006Vol.45No.1pp.127-130DOI:
Exact Solution to (1+1)-Dimensional Higher-Order Schrödinger Equation via an Extended Mapping Approach
ZHU Hai-Ping,1 ZHENG Chun-Long,1,2 and FAN...
An Extension of Mapping Deformation Method and New Exact Solution for Three Coupled Nonlinear Partial
Differential Equations
coupled nonlinear partial differential equations cubic nonlinear Klein-Gordon equation exact solution
2007/8/15
2003Vol.39No.4pp.395-400DOI:
An Extension of Mapping Deformation Method and New Exact Solution for Three Coupled Nonlinear Partial
Differential Equations
LI Hua-Mei
Col...
Extended Mapping Transformation Method and Its Applications to
Nonlinear Partial Differential Equation(s)
nonlinear partial differential equations extended mapping transformation method
exact solutions
2007/8/15
2005Vol.44No.3pp.473-478DOI:
Extended Mapping Transformation Method and Its Applications to
Nonlinear Partial Differential Equation(s)
ZHAO Hong and BAI Cheng-Lin
Physic...
New Family of Exact Solutions and Chaotic Soltions of Generalized Breor-Kaup System in (2+1)-Dimensions via an Extended Mapping Approach
extended mapping approach GBK system exact solution
chaotic soliton
2007/8/15
2005Vol.44No.2pp.203-208DOI:
New Family of Exact Solutions and Chaotic Soltions of Generalized Breor-Kaup System in (2+1)-Dimensions via an Extended Mapping Approach
FANG Jian-Pin...
Applications of Extended Mapping Deformation Method in Two (3+1)-Dimensional Nonlinear Models
(3+1)-dimensional JM equation (3+1)-dimensional KP equation travelling wave
solution
2007/8/15
2005Vol.43No.5pp.775-780DOI:
Applications of Extended Mapping Deformation Method in Two (3+1)-Dimensional Nonlinear Models
HUANG Wen-Hua,1,2 ZHANG Jie-Fang,2,3 and GE Wei-Kuan1
...
A General Mapping Approach and New Travelling Wave Solutions
to (2+1)-Dimensional Boussinesq Equation
(2+1)-dimensional Boussinesq system general mapping approach travelling
wave solution
2007/8/15
2004Vol.41No.5pp.671-674DOI:
A General Mapping Approach and New Travelling Wave Solutions
to (2+1)-Dimensional Boussinesq Equation
ZHENG Chun-Long1,2 and CHEN Li-Qun2
1 ...