The Contextuality of the Possessed values
소유값의 상황성
J. Phys. A: Math. Gen. 32: 3117–3125, Institute of Physics 1999
제1저자: 김명석
공동저자: Sang Gyu Jo, Sang Don Choi, Jung Ho Kim, Hun Moo Jeon and Ho Il Kim
초록
The mathematical structure of quantum mechanics is determined by two algorithms, quantization algorithm(QUAN) which says that an observed value of an observable Q is one of the eigenvalues q's of the corresponding physical operator Q, and statistical algorithm(STAT) which says that the probability for the observed physical quantity vm(Q) to be q is |<q|Ψ>|2. From these two algorithms we can derive the principle of statistical function composition(SFC), Prob(vm(f(Q))=r|Ψ) = Prob(vm(Q)=f-1(r) |Ψ). With the assumption of the principle of function composition(FC) that the algebraic relations between observables of a given physical system are identical with the algebraic relations between the observables possessed by the system before the observation is made, it can be explained why the result of observation obeys SFC. According to Bell-KS theorem, quantum theory is not compatible with FC. We analyze, in this paper, the result obtained by Redhead in detail, focusing on the problem of FC. Redhead assumes faithful measurement principle(FM) in order to construct FC. However, we show, here, that FC can be derived without the help of FM.
The Contextuality of the Possessed values
소유값의 상황성
J. Phys. A: Math. Gen. 32: 3117–3125, Institute of Physics 1999
제1저자: 김명석
공동저자: Sang Gyu Jo, Sang Don Choi, Jung Ho Kim, Hun Moo Jeon and Ho Il Kim
초록
The mathematical structure of quantum mechanics is determined by two algorithms, quantization algorithm(QUAN) which says that an observed value of an observable Q is one of the eigenvalues q's of the corresponding physical operator Q, and statistical algorithm(STAT) which says that the probability for the observed physical quantity vm(Q) to be q is |<q|Ψ>|2. From these two algorithms we can derive the principle of statistical function composition(SFC), Prob(vm(f(Q))=r|Ψ) = Prob(vm(Q)=f-1(r) |Ψ). With the assumption of the principle of function composition(FC) that the algebraic relations between observables of a given physical system are identical with the algebraic relations between the observables possessed by the system before the observation is made, it can be explained why the result of observation obeys SFC. According to Bell-KS theorem, quantum theory is not compatible with FC. We analyze, in this paper, the result obtained by Redhead in detail, focusing on the problem of FC. Redhead assumes faithful measurement principle(FM) in order to construct FC. However, we show, here, that FC can be derived without the help of FM.