Wu-Sheng Dai
YOU?
Author Swipe
View article: Kostka Numbers Constrain Particle Exchange Statistics beyond Fermions and Bosons
Kostka Numbers Constrain Particle Exchange Statistics beyond Fermions and Bosons Open
Existing theoretical explorations of intermediate statistics beyond bosons and fermions have followed three routes: (1) a statistical-mechanics route that modifies microstate counting rules; (2) a quantum-mechanics route that generalizes w…
View article: Identifying redundant singularity in Padé approximant
Identifying redundant singularity in Padé approximant Open
The Padé approximant performs the pole analysis in statistical mechanics and particle physics. The Padé approximant can recover the singularity information lost in the polynomial approximation given by perturbation methods but also introdu…
View article: Mach’s principle-based model of the origin of mass
Mach’s principle-based model of the origin of mass Open
In this paper, we present a Mach’s principle-based model of the origin of mass. According to Mach’s principle, the mass of matter arises from the coupling with the rest of the Universe rather than being an inherent property of matter itsel…
View article: Probability thermodynamics and probability quantum field
Probability thermodynamics and probability quantum field Open
We introduce probability thermodynamics and probability quantum fields. By probability we mean that there is an unknown operator, physical or nonphysical, whose eigenvalues obey a certain statistical distribution. Eigenvalue spectra define…
View article: Model for Origin and Modification of Mass and Coupling Constant
Model for Origin and Modification of Mass and Coupling Constant Open
We build a model of the origin of physical constants, including masses and coupling constants. We consider the quantum correction of masses and coupling constants. Some exactly solved leading quantum corrections are given. In the model, th…
View article: Perturbation-Based Non-Perturbative Method
Perturbation-Based Non-Perturbative Method Open
This paper presents a non-perturbative method for solving eigenproblems. This method applies to almost all potentials and provides non-perturbative approximations for any energy level. The method converts an eigenproblem into a perturbatio…
View article: Perturbation-based Non-perturbative Method
Perturbation-based Non-perturbative Method Open
This paper presents a nonperturbative method for solving eigenproblems. This method applies to almost all potentials and provides nonperturbative approximations for any energy level. The method converts an eigenproblem into a perturbation …
View article: Duality family of KdV equation
Duality family of KdV equation Open
It is revealed that there exist duality families of the KdV type equation. A duality family consists of an infinite number of generalized KdV (GKdV) equations. A duality transformation relates the GKdV equations in a duality family. Once a…
View article: Renormalization of divergent moment in probability theory
Renormalization of divergent moment in probability theory Open
Some probability distributions have moments, and some do not. For example, the normal distribution has power moments of arbitrary order, but the Cauchy distribution does not have power moments. In this paper, by analogy with the renormaliz…
View article: Energy spectrum of interacting gas: Cluster expansion method
Energy spectrum of interacting gas: Cluster expansion method Open
View article: Scattering approach for calculating one-loop effective action and vacuum energy
Scattering approach for calculating one-loop effective action and vacuum energy Open
We propose an approach for calculating one-loop effective actions and vacuum energies in quantum field theory. Spectral functions are functions defined by the eigenvalues of an operator. One-loop effective actions and vacuum energies in qu…
View article: Constructing effective action for gravitational field by effective potential method
Constructing effective action for gravitational field by effective potential method Open
The aim of this paper is to construct a quantum effective action for gravitational fields by the effective potential method in quantum field theory. The minimum of the quantum effective action gives an equation of quantum fluctuations. We …
View article: Solving Eigenproblem by Duality Transform
Solving Eigenproblem by Duality Transform Open
View article: Unified Framework for Generalized Statistics: Canonical Partition Function, Maximum Occupation Number, and Permutation Phase of Wave Function
Unified Framework for Generalized Statistics: Canonical Partition Function, Maximum Occupation Number, and Permutation Phase of Wave Function Open
View article: Model of black hole and white hole in Minkowski spacetime
Model of black hole and white hole in Minkowski spacetime Open
In this paper, we construct toy models of the black hole and the white hole by setting proper boundaries in the Minkowski spacetime, according to the modern definition. We calculate the thermal effect of the black hole with the tunneling m…
View article: Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate
Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate Open
Inspired by general relativity, we suggest an approach for long-range potential scattering. In scattering theory, there is a general theory for short-range potential scattering, but there is no general theory for long-range potential scatt…
View article: Multipole moment and singular source in Newtonian gravity and in Einstein gravity
Multipole moment and singular source in Newtonian gravity and in Einstein gravity Open
The multipole moments are defined as the multipole expansion coefficients of the gravitational field at infinity. In Newtonian gravity, the multipole moments are determined by the source distribution -- the multipole integrals of the sourc…
View article: Duality family of scalar field
Duality family of scalar field Open
View article: Eliminating oscillation in partial sum approximation of periodic function
Eliminating oscillation in partial sum approximation of periodic function Open
If we cannot obtain all terms of a series, or if we cannot sum up a series, we have to turn to the partial sum approximation which approximate a function by the first several terms of the series. However, the partial sum approximation ofte…
View article: A group method solving many-body systems in intermediate statistical representation
A group method solving many-body systems in intermediate statistical representation Open
The exact solution of the interacting many-body system is important and is difficult to solve. In this paper, we introduce a group method to solve the interacting many-body problem using the relation between the permutation group and the u…
View article: Scalar field in Reissner–Nordström spacetime: Bound state and scattering state (with appendix on eliminating oscillation in partial sum approximation of periodic function)
Scalar field in Reissner–Nordström spacetime: Bound state and scattering state (with appendix on eliminating oscillation in partial sum approximation of periodic function) Open
View article: Cylindrical Gravitational Wave: Source and Resonance
Cylindrical Gravitational Wave: Source and Resonance Open
Gravitational waves are regarded as linear waves in the weak field approximation, which ignores the spacetime singularity. In this paper, we analyze singularities in exact gravitational wave solutions. We provide an exact general solution …
View article: A group method solving many-body systems in intermediate statistical\n representation
A group method solving many-body systems in intermediate statistical\n representation Open
The exact solution of the interacting many-body system is important and is\ndifficult to solve. In this paper, we introduce a group method to solve the\ninteracting many-body problem using the relation between the permutation group\nand th…
View article: Converting Lattices into Networks: The Heisenberg Model and Its Generalizations with Long-Range Interactions
Converting Lattices into Networks: The Heisenberg Model and Its Generalizations with Long-Range Interactions Open
In this paper, we convert the lattice configurations into networks with different modes of links and consider models on networks with arbitrary numbers of interacting particle-pairs. We solve the Heisenberg model by revealing the relation …
View article: Toy models of black hole, white hole and wormhole: thermal effects and information loss problem
Toy models of black hole, white hole and wormhole: thermal effects and information loss problem Open
In this paper, by setting proper boundaries in the Minkowski spacetime, we construct three toy model spacetimes, a toy black hole, a toy white hole, and a toy wormhole. Based on these model spacetimes, we discuss the Hawking radiation and …
View article: Quantum correction of gravitational constant
Quantum correction of gravitational constant Open
We suggest a scheme for considering the quantum correction of the gravitational constant. In the model, the gravitational constant originates from a coupling of the gravitational field with a scalar field. In this paper, we show that if th…
View article: Bose-like few-fermion systems
Bose-like few-fermion systems Open
View article: Cylindrical gravitational waves: radiation and resonance
Cylindrical gravitational waves: radiation and resonance Open
In the weak field approximation the gravitational wave is approximated as a linear wave, which ignores the nonlinear effect. In this paper, we present an exact general solution of the cylindrical gravitational wave. The exact solution of t…
View article: The Brownian Motion in an Ideal Quantum Qas
The Brownian Motion in an Ideal Quantum Qas Open
A Brownian particle in an ideal quantum gas is considered. The mean square displacement (MSD) is derived. The Bose-Einstein or Fermi-Dirac distribution, other than the Maxwell-Boltzmann distribution, provides a different stochastic force c…
View article: Unified framework for generalized quantum statistics: canonical partition function, maximum occupation number, and permutation phase of wave function
Unified framework for generalized quantum statistics: canonical partition function, maximum occupation number, and permutation phase of wave function Open
Beyond Bose and Fermi statistics, there still exist various kinds of generalized quantum statistics. Two ways to approach generalized quantum statistics: (1) in quantum mechanics, generalize the permutation symmetry of the wave function an…