Institute for Particle, Nuclear and Astronomical Sciences (IPNAS)
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Browsing Institute for Particle, Nuclear and Astronomical Sciences (IPNAS) by Author "Benczik, S. Z."
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- Classical Implications of the Minimal Length Uncertainty RelationBenczik, S. Z.; Chang, Lay Nam; Minic, Djordje; Okamura, Naotoshi; Rayyan, S.; Takeuchi, Tatsu (2002-09-12)We study the phenomenological implications of the classical limit of the "stringy" commutation relations [x_i,p_j]=i hbar[(1+beta p^2) delta_{ij} + beta' p_i p_j]. In particular, we investigate the "deformation" of Kepler's third law and apply our result to the rotation curves of gas and stars in spiral galaxies.
- Hydrogen-atom spectrum under a minimal-length hypothesisBenczik, S. Z.; Chang, Lay Nam; Minic, Djordje; Takeuchi, Tatsu (American Physical Society, 2005-07-01)
- Hydrogen-atom spectrum under a minimal-length hypothesisBenczik, S. Z.; Chang, Lay Nam; Minic, Djordje; Takeuchi, Tatsu (American Physical Society, 2005-07)The energy spectrum of the Coulomb potential with minimal length commutation relations [X-i, P-j] = ih{delta ij(1 + beta P-2) + beta PiPj} is determined both numerically and perturbatively for arbitrary values of beta'/beta and angular momenta l. The constraint on the minimal length scale from precision hydrogen spectroscopy data is of the order of a few GeV-1, weaker than previously claimed.
- Short distance versus long distance physics: The classical limit of the minimal length uncertainty relationBenczik, S. Z.; Chang, Lay Nam; Minic, Djordje; Okamura, Naotoshi; Rayyan, S.; Takeuchi, Tatsu (American Physical Society, 2002-07-15)We continue our investigation of the phenomenological implications of the "deformed" commutation relations [(x) over cap (i),(p) over cap (j)]=i (h) over bar[(1+beta(p) over cap (2))delta(ij)+beta'(p) over cap (i)(p) over cap (j)]. These commutation relations are motivated by the fact that they lead to the minimal length uncertainty relation which appears in perturbative string theory. In this paper, we consider the effects of the deformation on the classical orbits of particles in a central force potential. Comparison with observation places severe constraints on the value of the minimum length.