The root of quantum statistical mechanics _821

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The root of quantum statistical mechanics

c · C] (14) -, / Wu which, f) is the wave function I, f) the Fourier exchange, e is the operator eigenfunctions. Wave function I, t) satisfy the Schrodinger equation to, f) = Pu 2 +) Kariya) (15) momentum space of 19 wave function, t) satisfies the equation Sin c, c (p, f) + Ir-p,) cf) (16) where V (p-p91I 『) e A by (15), (16) can be obtained, t) e ~ pXc (p, f)] = h22, f) e flail C (p, f)] A report [, t) e '~ pxC (p,[link widoczny dla zalogowanych], f )]+', f) eI 『,) f), a)', f) ei (, f) (17) where the third, four major contribution from the vicinity of P = p, in the first approximation, they kill and = [, f) e deduction, f)], so it is, f) e,:-h22, f) ei, f)] l, fJe it is like f) + f) _ as clay 02002 reported on 3 yellow star: the root of quantum mechanics is statistical distribution function of quantum mechanics, P, and the distribution function of classical mechanics are to meet to discuss the quantum Liouville equation .5 mechanics textbooks, the statistical nature of quantum mechanics is the source of interference, but the measuring instruments on the way to interfere with micro-events, how they interact, exchanging energy, why the intrinsic and extrinsic physical interference of the different physical quantities, not to explain these issues. We discussed this in the phase space problem, because in the phase space of quantum mechanics and classical mechanics, there is a corresponding expression, select the appropriate distribution of the wave function describes the system functions in the classical limit and the classical ensemble of the distribution function has the same form of expression, the equation that satisfy the same quantum mechanical wave function can be described in the classical limit the classical ensemble. And in the phase space of a single state of motion of classical particle is a function of the distribution function is also a function of P (x, p, f) = financial one () I) ( 20) No matter how to select the wave function, the distribution function can not be expressed as functions. visible quantum mechanical wave function can not be described in the classical limit a single particle system, but only describes the ensemble of quantum mechanics and classical statistical mechanics of the corresponding ensemble . It is the source of quantum statistical mechanics.