GUP and its Application to Angular Momentum Algebra

被引:2
|
作者
Khorram-Hosseini, Seyed Amin [1 ]
Panahi, Hossein [1 ]
Zarrinkamar, Saber [2 ]
机构
[1] Univ Guilan, Dept Phys, Rasht, Iran
[2] Islamic Azad Univ, Dept Basic Sci, Garmsar Branch, Garmsar, Iran
关键词
Generalized uncertainty principle; Non-locality; Heisenberg algebra; Angular momentum algebra; GENERALIZED UNCERTAINTY PRINCIPLE; STATES;
D O I
10.1007/s10773-020-04531-z
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The generalization of the Heisenberg uncertainty principle has been proposed by different theories of quantum gravity. This deformation affects the quantum phenomena. In this work, we consider the modification of the linear momentum based on the non-locality, and by using it, we calculate the deformed commutation relation between position and momentum. Then, we show how this generalization of the commutation relation affects the angular momentum algebra and its spectrum.
引用
收藏
页码:2617 / 2624
页数:8
相关论文
共 50 条
  • [21] INDECOMPOSABLE REPRESENTATIONS OF THE LORENTZ ALGEBRA IN AN ANGULAR-MOMENTUM BASIS
    GRUBER, B
    LENCZEWSKI, R
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (16): : 3703 - 3722
  • [22] Indecomposable representations of the nonlinear angular momentum algebra of quadratic type
    Ruan, D
    Wang, F
    Tu, CC
    Sun, HZ
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2000, 34 (04) : 643 - 648
  • [23] Birth of the GUP and its effect on the entropy of the universe in Lie-N-algebra
    Sepehri, Alireza
    Pradhan, Anirudh
    Pincak, Richard
    Rahaman, Farook
    Beesham, A.
    Ghaffary, Tooraj
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2017, 14 (09)
  • [24] Comment on "Schwinger's model of angular momentum with GUP" by Verma Harshit et al. Reply
    Verma, Harshit
    Mitra, Toshali
    Mandal, Bhabani Prasad
    EPL, 2019, 125 (01)
  • [25] Generation of Photon Orbital Angular Momentum and Its Application in Space Division Multiplexing
    Olaleye, Temitope M.
    Ribeiro, Paulo A.
    Raposo, Maria
    PHOTONICS, 2023, 10 (06)
  • [26] Synthetic Multimode Orbital Angular Momentum Generation and Its Object Detection Application
    Yang, Yang
    Chen, Zijun
    Wang, Yu
    Fu, Jiangnan
    Gao, Yuan
    Wang, Shaomeng
    Shen, Fei
    Jiang, Haibo
    Gong, Yubin
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2023, 71 (12) : 9905 - 9913
  • [27] Nuclear spin selection rules in chemical reactions by angular momentum algebra
    Oka, T
    JOURNAL OF MOLECULAR SPECTROSCOPY, 2004, 228 (02) : 635 - 639
  • [28] Entanglement via permutation symmetry and reflection invariance of angular momentum algebra
    N. Behzadi
    H. Fakhri
    The European Physical Journal D, 2011, 61 : 253 - 259
  • [29] Entanglement via permutation symmetry and reflection invariance of angular momentum algebra
    Behzadi, N.
    Fakhri, H.
    EUROPEAN PHYSICAL JOURNAL D, 2011, 61 (01): : 253 - 259
  • [30] A proposed measurement of optical orbital and spin angular momentum and its implications for photon angular momentum
    Leader, Elliot
    PHYSICS LETTERS B, 2018, 779 : 385 - 387