Quantum mechanics in theK-field formalism: The kepler problem (without spin)

1998 ◽  
Vol 41 (7) ◽  
pp. 662-666
Author(s):  
K. B. Korotchenko
Keyword(s):  
Quantum Mechanics ◽  
Kepler Problem ◽  
Field Formalism

Holstein–Primakoff realization of Higgs algebra and its q-extension

2014 ◽  
Vol 29 (10) ◽  
pp. 1450050 ◽  
Author(s):  
Won Sang Chung
Keyword(s):  
Quantum Mechanics ◽  
Kepler Problem ◽  
Heisenberg Algebra ◽  
Two Dimensional ◽  
Curved Space ◽  
Higgs Algebra ◽  
Quadratic Deformation

In this paper, Holstein–Primakoff realization of Higgs algebra is obtained by using the linear (or quadratic) deformation of Heisenberg algebra and q-deformed Higgs algebra is proposed. Some applications such as Kepler problem in a two-dimensional curved space and SUSY quantum mechanics are also discussed.

scholarly journals The Kepler Problem and Noncommutativity

2003 ◽  
Vol 18 (24) ◽  
pp. 1673-1680 ◽  
Author(s):  
Juan M. Romero ◽  
J. David Vergara
Keyword(s):  
Quantum Mechanics ◽  
Solar System ◽  
Symplectic Structure ◽  
Kepler Problem ◽  
Noncommutative Quantum Mechanics ◽  
Noncommutative Quantum ◽  
Noncommutative Parameter

We investigate the Kepler problem using a symplectic structure consistent with the commutation rules of the noncommutative quantum mechanics. We show that a noncommutative parameter of the order of 10-58 m 2 gives observable corrections to the movement of the solar system. In this way, modifications in the physics of smaller scales imply modifications at large scales, something similar to the uv/ir mixing.

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