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61.
We discuss in detail the parasupersymmetric quantum mechanics of arbitrary order where the parasupersymmetry is between the
normal bosons and those corresponding to the truncated harmonic oscillator. We show that even though the parasusy algebra
is different from that of the usual parasusy quantum mechanics, still the consequences of the two are identical. We further
show that the parasupersymmetric quantum mechanics of arbitrary orderp can also be rewritten in terms ofp supercharges (i.e. all of which obeyQ
i
2
=0). However, the Hamiltonian cannot be expressed in a simple form in terms of thep supercharges except in a special case. A model of conformal parasupersymmetry is also discussed and it is shown that in this
case, thep supercharges, thep conformal supercharges along with HamiltonianH, conformal generatorK and dilatation generatorD form a closed algebra. 相似文献
62.
Biman Bagchi 《Journal of Chemical Sciences》1997,109(6):379-388
Non-exponential electron transfer kinetics in complex systems are often analyzed in terms of a quenched, static disorder model.
In this work we present an alternative analysis in terms of a simple dynamic disorder model where the solvent is characterized
by highly non-exponential dynamics. We consider both low and high barrier reactions. For the former, the main result is a
simple analytical expression for the survival probability of the reactant. In this case, electron transfer, in the long time,
is controlled by the solvent polarization relaxation—in agreement with the analyses of Rips and Jortner and of Nadler and
Marcus. The short time dynamics is also non-exponential, but for different reasons. The high barrier reactions, on the other
hand, show an interesting dynamic dependence on the electronic coupling element,V
el. 相似文献
63.
64.
In this article we present a new, general but simple, microscopic expression for time-dependent solvation energy of an ion.
This expression is surprisingly similar to the expression for the time-dependent dielectric friction on a moving ion. We show
that both the Chandra-Bagchi and the Fried-Mukamel formulations of solvation dynamics can be easily derived from this expression.
This expression leads to an almost perfect agreement of the theory with all the available computer simulation results. Second,
we show here for the first time that the mobility of a light solute ion can significantly accelerate its own solvation, specially
in the underdamped limit. The latter result is also in excellent agreement with the computer simulations. 相似文献
65.
Stochastic diffusion equations with unknown boundary conditions are encountered in practice whenever the boundary is observed only through measurement errors. Parameter identification for such systems is studied in the present paper. The boundary condition is treated as an unknown parameter in a function space as an intermediate step in solving the identification problem. 相似文献
66.
The intent of this review is to utilize the mechanics of thin films in order to define quantitative procedures for predicting interface decohesion motivated by residual stress. The emphasis is on the role of the interface debond energy, especially methods for measuring this parameter in an accurate and reliable manner. Experimental results for metal films on dielectric substrates are reviewed and possible mechanisms are discussed. 相似文献
67.
68.
69.
B. Bagchi 《Physics letters. A》1983,97(4):143-144
It is pointed out that contrary to a recent claim the process of symmetry breaking is covariant in a non-inertial frame. 相似文献
70.
The local-field correction near the surface of a dipolar crystal has been studied by explicitly computing the non-retarded electric field produced by a finite array of classical point dipoles induced by a time-varying electric field. Crystals of simple cubic, f.c.c. and b.c.c. structures are considered, and results presented for the self-consitent dipole moment and the local electric field at a lattice point. The utility of the method and its possible applications are discussed. 相似文献