Relativistic differential-difference momentum operators and noncommutative differential calculus
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Dosyalar
Tarih
2013
Yazarlar
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