Gravitational reduction of the wave function based on Bohmian quantum potential

被引:2
作者
Rahmani, Faramarz [1 ]
Golshani, Mehdi [1 ,2 ]
Jafari, Ghadir [1 ]
机构
[1] Inst Res Fundamental Sci IPM, Sch Phys, POB 19395-5531, Tehran, Iran
[2] Sharif Univ Technol, Dept Phys, Tehran, Iran
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2018年 / 33卷 / 22期
关键词
Quantum state reduction; gravitational reduction of quantum state; collapse hypothesis; Bohmian quantum potential; STATE REDUCTION; MECHANICS;
D O I
10.1142/S0217751X18501294
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
In objective gravitational reduction of the wave function of a quantum system, the classical limit of the system is obtained in terms of the objective properties of the system. On the other hand, in Bohmian quantum mechanics the usual criterion for getting classical limit is the vanishing of the quantum potential or the quantum force of the system, which suffers from the lack of an objective description. In this regard, we investigated the usual criterion of getting the classical limit of a free particle in Bohmian quantum mechanics. Then we argued how it is possible to have an objective gravitational classical limit related to the Bohmian mechanical concepts like quantum potential or quantum force. Also we derived a differential equation related to the wave function reduction. An interesting connection will be made between Bohmian mechanics and gravitational concepts.
引用
收藏
页数:16
相关论文
共 26 条
  • [1] [Anonymous], 1996, Mathematical Foundations of Quantum Mechanics
  • [2] [Anonymous], 2011, MODERN QUANTUM MECH
  • [3] [Anonymous], 1980, Wholeness and the Implicate Order
  • [4] [Anonymous], 1993, QUANTUM THEORY MOTIO, DOI DOI 10.1017/CBO9780511622687
  • [5] Atiq Mahdi, 2009, Annales de la Fondation Louis de Broglie, V34, P67
  • [6] A New Way for the Extension of Quantum Theory: Non-Bohmian Quantum Potentials
    Atiq, Mahdi
    Karamian, Mozafar
    Golshani, Mahdi
    [J]. FOUNDATIONS OF PHYSICS, 2009, 39 (01) : 33 - 44
  • [7] Bell JS., 1987, Speakable and unspeakable in quantum mechanics
  • [8] BOHM D, 1952, PHYS REV, V85, P166, DOI 10.1103/PhysRev.85.166
  • [9] Bohm David, 1993, The Undivided Universe: An ontological interpretation of quantum theory
  • [10] Solving the measurement problem: De Broglie-Bohm loses out to Everett
    Brown, HR
    Wallace, D
    [J]. FOUNDATIONS OF PHYSICS, 2005, 35 (04) : 517 - 540