Pregled bibliografske jedinice broj: 827972
Simple generalization of the quantum mechanical virial theorem for nonrelativistic systems with rotational symmetry
Simple generalization of the quantum mechanical virial theorem for nonrelativistic systems with rotational symmetry // Physical science international journal, 11 (2016), 2; 1-5 doi:10.9734/PSIJ/2016/27935 (međunarodna recenzija, članak, znanstveni)
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Naslov
Simple generalization of the quantum mechanical virial theorem for nonrelativistic systems with rotational symmetry
Autori
Kuić, Domagoj
Izvornik
Physical science international journal (2348-0130) 11
(2016), 2;
1-5
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
quantum mechanics ; virial theorem ; rotational symmetry ; moment of inertia tensor ; dilations
Sažetak
In this paper we show that the generalization of the virial theorem can be achieved for nonrelativistic quantum mechanical systems under the conditions of rotational symmetry and the constancy of the trace of moment of inertia tensor. Under these conditions the matrix elements of the commutator of the generator of dilations G and the Hamiltonian H are equal to zero on the subspace of the Hilbert space generated by the simultaneous eigenvectors of the particular maximal set of commuting self- adjoint operators which contains H, J^2, J_z, the trace of the moment of inertia tensor TrI and additional operators. The result obtained is relevant for an important class of N- particle nonrelativistic quantum mechanical systems.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
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