scholarly journals Bridge-bursting and the action-integral in exploding bridge-wire (EBW) detonators

2019 ◽  
Author(s):  
Philip John Rae
Keyword(s):  
Action Integral

INTEGRABILITY AND ACTION FUNCTION IN MULTI-HAMILTONIAN SYSTEMS

2004 ◽  
Vol 19 (11) ◽  
pp. 863-870 ◽  
Author(s):  
S. I. MUSLIH
Keyword(s):  
Differential Equations ◽  
Hamiltonian Systems ◽  
Equations Of Motion ◽  
Integral Function ◽  
Jacobi Method ◽  
Action Function ◽  
Action Integral ◽  
Method Integration ◽  
Total Differential

Multi-Hamiltonian systems are investigated by using the Hamilton–Jacobi method. Integration of a set of total differential equations which includes the equations of motion and the action integral function is discussed. It is shown that this set is integrable if and only if the total variations of the Hamiltonians vanish. Two examples are studied.

NECK INFLUENCE ON DYNAMICS OF CLUSTER RADIOACTIVITIES AND COLD FISSION

1990 ◽  
Vol 05 (26) ◽  
pp. 2101-2105 ◽  
Author(s):  
D. N. POENARU ◽  
M. MIREA ◽  
W. GREINER ◽  
I. CĂTA ◽  
D. MAZILU
Keyword(s):  
Lower Mass ◽  
Fission Process ◽  
Α Decay ◽  
Mass Asymmetry ◽  
Action Integral ◽  
Wide Range ◽  
Cold Fission

A two-center parametrization with smoothed neck is used to describe the shapes during the fission process of 234 U in a wide range of mass asymmetry (cold fission with 100 Zr fragment, 28 Mg radioactivity and α-decay). The optimum fission path has been found by minimizing the action integral. The neck influence is stronger for lower mass asymmetry.

scholarly journals General Relativity with a Positive Cosmological Constant Λ as a Gauge Theory

Axioms ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 24
Author(s):  
Marta Dudek ◽  
Janusz Garecki
Keyword(s):  
General Relativity ◽  
Gauge Theory ◽  
Cosmological Constant ◽  
Gauge Field ◽  
Geometrical Interpretation ◽  
Positive Cosmological Constant ◽  
Four Dimensions ◽  
Action Integral ◽  
Fields Equations

In this paper, we show that the general relativity action (and Lagrangian) in recent Einstein–Palatini formulation is equivalent in four dimensions to the action (and Langrangian) of a gauge field. First, we briefly showcase the Einstein–Palatini (EP) action, and then we present how Einstein fields equations can be derived from it. In the next section, we study Einstein–Palatini action integral for general relativity with a positive cosmological constant Λ in terms of the corrected curvature Ω c o r . We see that in terms of Ω c o r this action takes the form typical for a gauge field. Finally, we give a geometrical interpretation of the corrected curvature Ω c o r .

On variation of action integral in Finsler gravity

2019 ◽  
Vol 404 ◽  
pp. 93-114 ◽  
Author(s):  
Panrui Ni ◽  
Bin Shen
Keyword(s):  
Action Integral

The sufficient condition for an extremum in the classical action integral as an eigenvalue problem

1980 ◽  
Vol 48 (9) ◽  
pp. 767-770 ◽  
Author(s):  
M. S. Hussein ◽  
J. G. Pereira ◽  
V. Stojanoff ◽  
H. Takai
Keyword(s):  
Eigenvalue Problem ◽  
Sufficient Condition ◽  
Classical Action ◽  
Action Integral

scholarly journals Symmetries, Conservation Laws, and Wave Equation on the Milne Metric

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Ahmad M. Ahmad ◽  
Ashfaque H. Bokhari ◽  
F. D. Zaman
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Wave Equation ◽  
Conservation Laws ◽  
Mathematical Physics ◽  
Lie Point Symmetries ◽  
Noether Symmetries ◽  
Physical Systems ◽  
Action Integral ◽  
Lorentzian Metric

Noether symmetries provide conservation laws that are admitted by Lagrangians representing physical systems. For partial differential equation possessing Lagrangians these symmetries are obtained by the invariance of the corresponding action integral. In this paper we provide a systematic procedure for determining Noether symmetries and conserved vectors for a Lagrangian constructed from a Lorentzian metric of interest in mathematical physics. For completeness, we give Lie point symmetries and conservation laws admitted by the wave equation on this Lorentzian metric.

Hamilton–Jacobi Treatment of Lagrangians with Linear Velocities

2003 ◽  
Vol 18 (23) ◽  
pp. 1591-1596 ◽  
Author(s):  
Eqab M. Rabei ◽  
Khaled I. Nawafleh ◽  
Yacoub S. Abdelrahman ◽  
H. Y. Rashed Omari
Keyword(s):  
Equations Of Motion ◽  
Lagrangian Systems ◽  
New Approach ◽  
Consistency Conditions ◽  
Action Integral ◽  
Jacobi Formulation

A new approach for solving mechanical problems of Linear Lagrangian systems using the Hamilton–Jacobi formulation is proposed. The equations of motion are recovered from the action integral. It has been proved that there is no need to follow the consistency conditions of the Dirac approach.

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