A unified framework for quantum activated rate processes. I. General theory

1996 ◽  
Vol 105 (16) ◽  
pp. 6856-6870 ◽  
Author(s):  
Jianshu Cao ◽  
Gregory A. Voth
Keyword(s):  
General Theory ◽  
Unified Framework ◽  
Rate Processes

scholarly journals Squeezing metrology: a unified framework

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 292
Author(s):  
Lorenzo Maccone ◽  
Alberto Riccardi
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
General Theory ◽  
Spin Squeezing ◽  
Quantum Systems ◽  
Quantum Metrology ◽  
Unified Framework ◽  
The Central Limit Theorem ◽  
Arbitrary Quantum ◽  
Classical Strategy

Quantum metrology theory has up to now focused on the resolution gains obtainable thanks to the entanglement among N probes. Typically, a quadratic gain in resolution is achievable, going from the 1/N of the central limit theorem to the 1/N of the Heisenberg bound. Here we focus instead on quantum squeezing and provide a unified framework for metrology with squeezing, showing that, similarly, one can generally attain a quadratic gain when comparing the resolution achievable by a squeezed probe to the best N-probe classical strategy achievable with the same energy. Namely, here we give a quantification of the Heisenberg squeezing bound for arbitrary estimation strategies that employ squeezing. Our theory recovers known results (e.g. in quantum optics and spin squeezing), but it uses the general theory of squeezing and holds for arbitrary quantum systems.

Analysis of a Liquid Vapor Phase Change by the Methods of Irreversible Thermodynamics

1967 ◽  
Vol 34 (4) ◽  
pp. 840-846 ◽  
Author(s):  
W. J. Bornhorst ◽  
G. N. Hatsopoulos
Keyword(s):  
General Theory ◽  
Kinetic Theory ◽  
Phase Change ◽  
Vapor Phase ◽  
Transport Coefficients ◽  
Phase Interface ◽  
Irreversible Thermodynamics ◽  
Rate Equations ◽  
Phenomenological Equations ◽  
Rate Processes

The object of this theoretical investigation is to obtain a set of equations which will predict the behavior of a fluid as it changes phase. Irreversible thermodynamics is employed to obtain general rate equations which relate the fluxes and forces across the nonequilibrium region existing at a phase interface. Both plane and spherical interfaces are considered. Experimental means for determining the three transport coefficients which appear in the resulting equations are discussed. Approximate values for the transport coefficients are obtained from kinetic theory arguments. The present analysis is limited to phase-change problems which may be described by linear phenomenological equations; this is so when the change in the driving potentials is small as compared to their value on either side of the phase interface. This restriction is necessary since presently no general theory exists for nonlinear rate processes.

scholarly journals Jacobi Multipliers in Integrability and the Inverse Problem of Mechanics

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1413
Author(s):  
José F. Cariñena ◽  
José Fernández-Núñez
Keyword(s):  
Dynamical System ◽  
Inverse Problem ◽  
General Theory ◽  
Explicit Form ◽  
Mechanical Systems ◽  
Unified Framework ◽  
One Dimensional ◽  
Nonautonomous Systems

We review the general theory of the Jacobi last multipliers in geometric terms and then apply the theory to different problems in integrability and the inverse problem for one-dimensional mechanical systems. Within this unified framework, we derive the explicit form of a Lagrangian obtained by several authors for a given dynamical system in terms of known constants of the motion via a Jacobi multiplier for both autonomous and nonautonomous systems, and some examples are used to illustrate the general theory. Finally, some geometric results on Jacobi multipliers and their use in the study of Hojman symmetry are given.

Extreme self-sacrifice beyond fusion: Moral expansiveness and the special case of allyship

2018 ◽  
Vol 41 ◽  
Author(s):  
Daniel Crimston ◽  
Matthew J. Hornsey
Keyword(s):  
General Theory ◽  
Biological Markers ◽  
Natural Environment ◽  
Relevant Dimension ◽  
Special Case

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.

Review of A General Theory of Crime.

1992 ◽  
Vol 37 (11) ◽  
pp. 1225-1225
Author(s):  
No authorship indicated
Keyword(s):  
General Theory ◽  
General Theory Of Crime ◽  
Theory Of Crime
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