Relativistic differential-difference momentum operators and noncommutative differential calculus

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Küçük Resim

Tarih

2013

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pleiades Publishing Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The relativistic kinetic momentum operators are introduced in the framework of the Quantum Mechanics (QM) in the Relativistic Configuration Space (RCS). These operators correspond to the half of the non-Euclidean distance in the Lobachevsky momentum space. In terms of kinetic momentum operators the relativistic kinetic energy is separated as the independent term of the total Hamiltonian. This relativistic kinetic energy term is not distinguishing in form from its nonrelativistic counterpart. The role of the plane wave (wave function of the motion with definite value of momentum and energy) plays the generating function for the matrix elements of the unitary irreps of Lorentz group (generalized Jacobi polynomials). The kinetic momentum operators are the interior derivatives in the framework of the noncommutative differential calculus over the commutative algebra generated by the coordinate functions over the RCS.

Açıklama

Anahtar Kelimeler

Field, Space, Quantization

Kaynak

Physics of Atomic Nuclei

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

76

Sayı

9

Künye