Deformed Coherent and Squeezed States of Multiparticle Processes

Deformed squeezed states are introduced as the $q$-analogues of the conventional undeformed harmonic oscillator algebra squeezed states. It is shown that the boundary vectors in the matrix-product states approach to multiparticle diffusion processes are deformed coherent or squeezed states of a deformed harmonic oscillator algebra. A deformed squeezed and coherent-states solution to the $n$-species stochastic diffusion boundary problem is proposed and studied.