The following articles will be very helpful to you.
Ref.
Maydeu-Olivares, A., Coffman, D. L., García-Forero, C., & Gallardo-Pujol, D. (2010). Hypothesis testing for coefficient alpha: An SEM approach. Behavior Research Methods, 42(2), 618-25.
Yuan, Guannicia, & Hayslip. A Study of the distribution of sample coefficient alpha with the Hopkins symptom checklist: Bootstrap versus asymptotics. Educational and Psychological Measurement, 63(5). doi:10.1177/0013164402239314
Zumbo, B. D. (1999). A glance at coefficient alpha with an eye towards robustness studies: Some mathematical notes and a simulation model (Paper No. ESQBS-99-1). Prince George, B.C.: University of Northern British Columbia. Edgeworth Laboratory for Quantitative Behavioural Science.
Hi Mahmoud, to add to Ruth's reference list, you might find Jose Cortina's article about the meaning of alpha very helpful:
Cortina, J. M. (1993). What is coefficient alpha? An examination of theory and applications. Journal Of Applied Psychology, 78(1), 98-104. doi:10.1037/0021-9010.78.1.98