Phenomenological implications of the generalized uncertainty principle

By Saurya Das, E. Vagenas. 2009

231 citations recorded by the source corpus.

Various theories of quantum gravity argue that near the Planck scale, the Heisenberg uncertainty principle should be replaced by the so called generalized uncertainty principle (GUP). We show that ...

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ff6ac445b06ed3001d9bbdaf6fbd28b65d6b913b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Pouria Pedram
2. Abdel Nasser Tawfik
3. A. Diab
4. Kourosh Nozari
5. S. Taheri
6. Sabine Hossenfelder

In Nuclear and High Energy Physics

1. A. Diab
2. Abdel Nasser Tawfik
3. Sabine Hossenfelder
4. Pouria Pedram
5. Kourosh Nozari
6. S. Taheri
7. M. Drewes
8. Sourendu Gupta

In Statistical and Nonlinear Physics

1. Abdel Nasser Tawfik
2. A. Diab
3. Sabine Hossenfelder
4. Pouria Pedram
5. Kourosh Nozari
6. S. Taheri

Citations in the corpus

• The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field (2011, background): “ssentially required [17, 18, 19]. In GUP formalism, the idea of a minimum observable length and a maximum observable momentum changes the usual form of all Hamiltonians in quantum mechanics (see ref. [20] and references therein). In fact, the modified Hamiltonians contain additional terms proportiona”
• Generalized Uncertainty Principle: Approaches and Applications (2014, methodology): “Nevertheless, the minimal length has been observed in condensed matter and atomic physics experiments, such as Lamb shift [74, 90], Landau levels [74, 90], and the Scanning Tunnelling Microscope (STM) [74].”
• Minimal Length Scale Scenarios for Quantum Gravity (2012, background): “In this fashion, in the leading-order approximation, the harmonic oscillator in one dimension has been studied in [184, 167, 8, 125], the harmonic oscillator in arbitrary dimensions in [83, 177, 85, 93], the energy levels of the hydrogen atom in [167, 69, 296, 67, 258], the particle in a box in [7],”