Naslov
Quantum Mechanical Virial Theorem in Systems with Translational and Rotational Symmetry

Autori
Kuić, Domagoj

Izvornik
International journal of theoretical physics (0020-7748) 52 (2013), 4; 1221-1239

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
quantum mechanics; virial theorem; systems with translational and rotational symmetry; dilations

Sažetak
Generalized virial theorem for quantum mechanical nonrelativistic and relativistic systems with translational and rotational symmetry is derived in the form of the commutator between the generator of dilations G and the Hamiltonian H. If the conditions of translational and rotational symmetry together with the additional conditions of the theorem are satisfied, the matrix elements of the commutator [G, H] are equal to zero on the subspace of the Hilbert space. Normalized simultaneous eigenvectors of the particular set of commuting operators which contains H, J2, Jz and additional operators form an orthonormal basis in this subspace. It is expected that the theorem is relevant for a large number of quantum mechanical N-particle systems with translational and rotational symmetry.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA