31, 555–563 (1935)Įinstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Schrödinger, E.: Discussion of probability relations between separated systems. Cambridge University Press, Cambridge (2000) Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. 486, 160–165 (2010)Ĭavalcanti, D., Malard, L.M., Matinaga, F.M., Terra Cunha, M.O., França Santos, M.: Useful entanglement from the Pauli principle. Rajchel, Ł., Zuchowski, P.S., Szczesńiak, M.M., Chałasiński, G.: Derivation of the supermolecular interaction energy from the monomer densities in the density functional theory. Gutowski, M., Piela, L.: Interpretation of the Hartree-Fock interaction energy between closed-shell systems. Pascual, J.L., Barros, N., Barandiarán, Z., Seijo, L.: Improved embedding ab initio model potentials for embedded cluster calculations. Huzinaga, S., McWilliams, D., Cantu, A.A.: Projection operators in Hartree-Fock theory. Zeldovich, Ya.B.: The number of elementary baryons and the universal baryons repulsion hypothesis. Schrieffer, J.R.: Theory of Superconductivity. Sancho, P.: Compositeness effects, Pauli’s principle and entanglement. Law, C.K.: Quantum entanglement as an interpretation of bosonic character in composite two-particle systems. Gilbert, J.D.: Second-quantized representation for a model system with composite particles. Girardeau, M.D.: Second-quantization representation for systems of atoms, nuclei, and electrons. Girardeau, M.D.: Formulation of the many-body problem for composite particles. Kaplan, I.G.: Symmetry of Many-Electron Systems. Kaplan, I.G., Rodimova, O.B.: Group theoretical classification of states of molecular systems with definite states of its constituent parts. Kaplan, I.G.: Method for finding allowed multiplets in calculation of many-electron systems. Hilborn, R.C., Yuca, C.L.: Spectroscopic test of the symmetrization postulate for spin-0 nuclei. 112, 621–641 (1926)ĭieke, H.G., Babcock, H.D.: The structure of the atmospheric absorption bands of oxygen. Heisenberg, W.: Mehrkörperproblem und Resonanz in der Quantenmechanik. Cambridge University Press, Cambridge (1960) (eds.) Theoretical Physics in the Twentieth Century, pp. Van der Waerden, B.L.: Exclusion principle and spin. Uhlenbeck, G.E., Goudsmit, S.: Ersetzung der Hypothese vom unmechanischen Zwang durch eine Forderung bezüglich des inneren Verhaltens jedes einzelnen Elektrons. Pauli, W.: Über den Einfluß der Geschwindigkeitsabhängigkeit der Elektronenmasse auf den Zeemaneffekt. Pauli, W.: Über den Zusammenhang des Abschlusses der Elektronengruppen im Atom mit der Komplexstruktur der Spektren. Thus, the prohibition of the degenerate permutation states by the Pauli exclusion principle follows from the general physical assumptions underlying quantum theory. As follows from the analysis of possible scenarios, the permission of multi-dimensional representations of the permutation group leads to contradictions with the concept of particle identity and their independence. Heuristic arguments are given in favor that the existence in nature only the one-dimensional permutation representations (symmetric and antisymmetric) are not accidental. It is demonstrated that the proofs of the Pauli exclusion principle in some textbooks on quantum mechanics are incorrect and, in general, the indistinguishability principle is insensitive to the permutation symmetry of the wave function and cannot be used as a criterion for the verification of the Pauli exclusion principle. On the other hand, according to the Pauli exclusion principle, the permutation symmetry of the total wave functions can be only of two types: symmetric or antisymmetric, all other types of permutation symmetry are forbidden although the solutions of the Schrödinger equation may belong to any representation of the permutation group, including the multi-dimensional ones. The reasons why the spin-statistics connection exists are still unknown, see discussion in text. This is a so-called spin-statistics connection. On the one hand, it asserts that particles with half-integer spin (fermions) are described by antisymmetric wave functions, and particles with integer spin (bosons) are described by symmetric wave functions. The Pauli exclusion principle can be considered from two viewpoints. The modern state of the Pauli exclusion principle studies is discussed.
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