scholarly journals Collisional interactions between self-interacting nonrelativistic boson stars: Effective potential analysis and numerical simulations

2016 ◽  
Vol 94 (6) ◽  
Author(s):  
Eric Cotner
Keyword(s):  
Numerical Simulations ◽  
Effective Potential ◽  
Boson Stars ◽  
Potential Analysis ◽  
Collisional Interactions

scholarly journals GAUSSIAN EFFECTIVE POTENTIAL ANALYSIS OF SINH(SINE)–GORDON MODELS NEW REGULARIZATION–RENORMALIZATION SCHEME

1999 ◽  
Vol 14 (27) ◽  
pp. 4259-4274 ◽  
Author(s):  
SZE-SHIANG FENG ◽  
GUANG-JIONG NI
Keyword(s):  
Critical Point ◽  
Effective Potential ◽  
Renormalization Scheme ◽  
Coupling Constant ◽  
Potential Analysis ◽  
Conventional Analysis ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Sine Gordon Model ◽  
Gaussian Effective Potential

Using the new regularization and renormalization scheme recently proposed by Yang and used by Ni et al., we analyze the sine–Gordon and sinh–Gordon models within the framework of Gaussian effective potential in D+1 dimensions. Our analysis suffers no divergence and so does not suffer from the manipulational obscurities in the conventional analysis of divergent integrals. Our main conclusions agree exactly with those of Ingermanson for D=1,2 but disagree for D=3: the D=3 sinh(sine)–Gordon model is nontrivial. Furthermore, our analysis shows that for D=1,2, the running coupling constant (RCC) has poles for sine–Gordon model (γ2<0) and the sinh–Gordon model (γ2>0) has a possible critical point [Formula: see text] while for D=3, the RCC has poles for both γ2>0 and γ2<0.

scholarly journals Nonvanishing finite scalar mass in flux compactification

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Takuya Hirose ◽  
Nobuhito Maru
Keyword(s):  
Effective Potential ◽  
Quantum Correction ◽  
Wilson Line ◽  
Point Interaction ◽  
Potential Analysis ◽  
Flux Compactification ◽  
Interaction Terms ◽  
Scalar Mass

Abstract We study possibilities to realize a nonvanishing finite Wilson line (WL) scalar mass in flux compactification. Generalizing loop integrals in the quantum correction to WL mass at one-loop, we derive the conditions for the loop integrals and mode sums in one-loop corrections to WL scalar mass to be finite. We further guess and classify the four-point and three-point interaction terms satisfying these conditions. As an illustration, the nonvanishing finite WL scalar mass is explicitly shown in a six dimensional scalar QED by diagrammatic computation and effective potential analysis. This is the first example of finite WL scalar mass in flux compactification.

Effective potential, Bohm’s potential plus classical potential, analysis of quantum transmission

2007 ◽  
Vol 43 (1) ◽  
pp. 350-364 ◽  
Author(s):  
María F. González ◽  
Xavier Giménez ◽  
Javier González ◽  
Josep Maria Bofill
Keyword(s):  
Effective Potential ◽  
Potential Analysis ◽  
Quantum Transmission ◽  
Classical Potential

THE "NOT QUITE" INVERTED PENDULUM

1999 ◽  
Vol 09 (01) ◽  
pp. 273-285 ◽  
Author(s):  
S. R. BISHOP ◽  
D. J. SUDOR
Keyword(s):  
Numerical Simulations ◽  
Potential Function ◽  
Effective Potential ◽  
Inverted Pendulum ◽  
Vertical Force ◽  
Periodic Forcing ◽  
Chaotic Motions ◽  
Pivot Point ◽  
Period Of Oscillation ◽  
Observed Behavior

The planar pendulum has been used as an example of a simple oscillator for over 300 years with notable historical contributions by Galileo and Huygens. Initially interest was focused on small displacements from the stable hanging position specifically to determine the period of oscillation. More recently attention has switched to larger amplitude and chaotic motions as a consequence of periodic forcing to the pivot point. To explain experimentally observed behavior, we investigate here the existence of stable inverted solutions of a pendulum sinusoidally driven, in the first instance by a purely vertical force and then by an almost vertical force by giving a small tilt to the system. An effective potential function is considered to provide analytical justification of the numerical simulations.

RF CONTROLLABLE IOFFE–PRITCHARD TRAP FOR COLD DRESSED ATOMS

2007 ◽  
Vol 21 (01) ◽  
pp. 59-68 ◽  
Author(s):  
GUENNADI A. KOUZAEV ◽  
KARL J. SAND
Keyword(s):  
Radio Frequency ◽  
Numerical Simulations ◽  
Effective Potential ◽  
Cold Atom ◽  
High Sensitivity ◽  
Atom Interferometers

An Ioffe–Pritchard trap for cold dressed atoms is studied by analytical and numerical simulations. The effective potential in this trap is formed by the static magnetic and radio-frequency fields, and the minimums are formed around the current bars. The depth of the minimums and the overall topology of the effective potential are controlled electronically. The studied regime of the Ioffe–Pritchard trap is of interest for high-sensitivity cold atom interferometers.

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