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

2019 ◽  
Author(s):  
Philip John Rae
Keyword(s):  
2004 ◽  
Vol 19 (11) ◽  
pp. 863-870 ◽  
Author(s):  
S. I. MUSLIH

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.


1990 ◽  
Vol 05 (26) ◽  
pp. 2101-2105 ◽  
Author(s):  
D. N. POENARU ◽  
M. MIREA ◽  
W. GREINER ◽  
I. CĂTA ◽  
D. MAZILU

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.


Axioms ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 24
Author(s):  
Marta Dudek ◽  
Janusz Garecki

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 .


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

1980 ◽  
Vol 48 (9) ◽  
pp. 767-770 ◽  
Author(s):  
M. S. Hussein ◽  
J. G. Pereira ◽  
V. Stojanoff ◽  
H. Takai

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Ahmad M. Ahmad ◽  
Ashfaque H. Bokhari ◽  
F. D. Zaman

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.


2003 ◽  
Vol 18 (23) ◽  
pp. 1591-1596 ◽  
Author(s):  
Eqab M. Rabei ◽  
Khaled I. Nawafleh ◽  
Yacoub S. Abdelrahman ◽  
H. Y. Rashed Omari

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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