Boris Podolsky

The first use of the Fourier transformation technique for atoms or molecules was made by Boris Podolsky and Linus Pauling [17] for the hydrogen atom. Coulson [18] noted that if the r-space wave function is constmcted from one-electron functions, then there is an isomorphism between I and wave function P can be written in terms of spin-orbitals (/ as a single Slater determinant. 

Momentum distribution in hydrogen-like atoms. Phys. Rev. 34 (1929) 109— 116. (Boris Podolsky and Linus Pauling). 

It is not straightforward to write down the corresponding kinetic energy operator. The reason is that, in the above expression, we have curvilinear coordinates (because of the rotation from BFCS to RMCS" ), whereas the quantum mechanical operators were introduced (Chapter 1) only for the Cartesian coordinates (p. 19). How do we write an operator expressed in some curvilinear coordinates qi and the corresponding momenta pi Boris Podolsky solved this problem and the result is ... 

The influence of the measurement result of a qubit affecting the state of another, as happens in an entangled state, is called non-locality. This strange property was pointed out for the first time in a very influential paper, published in 1935, by Albert Einstein, Boris Podolsky and Nathan Rose [13]. The paper aimed to demonstrate that Quantum Mechanics was an incomplete theory. According to the authors, a theory to be considered complete should contain what they defined reality elements. A reality element would be, still according to the authors, any physical quantity whose value could be predicted before performing a measurement on the system. For example, when a measurement of the observable cty is performed on a qubit, in an entangled cat state, the result determines the state of the other qubit, which could then be predicted before a measurement. Hence the observable Uy is a reality element. However, before the measurement is performed on the first qubit. 

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