Exactly Solvable $${\varvec{N}}$$ N -Body Quantum Systems with $$\varvec{N=3^k \ ( k}$$ N = 3 k ( k $$\ge $$ ≥ $$\varvec{2)}$$ 2 ) in the $${\varvec{D=1}}$$ D = 1 Dimensional Space

On the Rational Recursive Sequence X_{N+1}=ƔX_{N-K}+(AX_N+BX_{N-K})⁄(CX_N-DX_{N-K})

on the rational recursive sequence x_{n+1}=ɣx_{n-k}+(ax_n+bx_{n-k})⁄(cx_n-dx_{n-k})

Dispersive Ordering and k-out-of-n Systems

Extended Abstract. The simplest and the most common way of comparing two random variables is through their means and variances. It may happen that in some cases the median of X is larger than that of Y, while the mean of X is smaller than the mean of Y. However, this confusion will not arise if the random variables are stochastically ordered. Similarly, the same may happen if one would like to ...

DISCRETE-TIME GI/D-MSP/1/K QUEUE WITH N THRESHOLD POLICY

This paper presents a discrete-time single-server finite buffer N threshold policy queue with renewal input and discreteMarkovian service process. The server terminates service whenever the system becomes empty, and recommencesservice as soon as the number of waiting customers in the queue is N. We obtain the system-length distributionsat pre-arrival and arbitrary epochs using the supplementary...

Studies of Three-Body B^+→D ̅^* 〖(2007)〗^0 K^+ K ̅^0 and B^0→D^* 〖(2010)〗^- K^+ K ̅^0 Decays

We analyze three-body decays of and . Under the factorization approach, there are tree level diagrams for these decay modes and the transition matrix element of decay is factorized into a form factor multiplied by decay constant and form factor multiplied into weak vertices form factor. The transition matrix element of decay is also factorized into a form factor multiplied into weak vertic...