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Classical statistical average values are generally generalized to averagevalues of quantum mechanics, it is discovered that quantum mechanics is directgeneralization of classical statistical mechanics, and we generally deduce botha new general continuous eigenvalue equation and a general discrete eigenvalueequation in quantum mechanics, and discover that a eigenvalue of quantummechanics is just an extreme value of an operator in possibility distribution,the eigenvalue f is just classical observable quantity. A general classicalstatistical uncertain relation is further given, the general classicalstatistical uncertain relation is generally generalized to quantum uncertaintyprinciple, the two lost conditions in classical uncertain relation and quantumuncertainty principle, respectively, are found. We generally expound therelations among uncertainty principle, singularity and condensed matterstability, discover that quantum uncertainty principle prevents from theappearance of singularity of the electromagnetic potential between nucleus andelectrons, and give the failure conditions of quantum uncertainty principle.Finally, we discover that the classical limit of quantum mechanics is classicalstatistical mechanics, the classical statistical mechanics may further bedegenerated to classical mechanics, and we discover that only saying that theclassical limit of quantum mechanics is classical mechanics is mistake. Asapplication examples, we deduce both Shrodinger equation and statesuperposition principle, deduce that there exist decoherent factor from ageneral mathematical representation of state superposition principle, and theconsistent difficulty between statistical interpretation of quantum mechanicsand determinant property of classical mechanics is overcome.Comment: 10 page

GENERALIZATION OF CLASSICAL STATISTICAL MECHANICS TO QUANTUM MECHANICS AND STABLE PROPERTY OF CONDENSED MATTER