COHERENT STATES IN GRAVITATIONAL QUANTUM MECHANICS

被引:16
作者
Pedram, Pouria [1 ]
机构
[1] Islamic Azad Univ, Dept Phys, Sci & Res Branch, Tehran, Iran
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS D | 2013年 / 22卷 / 02期
关键词
Quantum gravity; generalized uncertainty principle; coherent states; MINIMAL LENGTH UNCERTAINTY; GRAVITY; PRINCIPLE; REPRESENTATION; OSCILLATOR; SPECTRUM; TESTS; GUP;
D O I
10.1142/S0218271813500041
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present the coherent states of the harmonic oscillator in the framework of the generalized (gravitational) uncertainty principle (GUP). This form of GUP is consistent with various theories of quantum gravity such as string theory, loop quantum gravity and black-hole physics and implies a minimal measurable length. Using a recently proposed formally self-adjoint representation, we find the GUP-corrected Hamiltonian as a generator of the generalized Heisenberg algebra. Then following Klauder's approach, we construct exact coherent states and obtain the corresponding normalization coefficients, weight functions and probability distributions. We find the entropy of the system and show that it decreases in the presence of the minimal length. These results could shed light on possible detectable Planck-scale effects within recent experimental tests.
引用
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页数:14
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