Abstract:
It is shown that after quantization of a classical dynamically stochastic system
1) the spectrum can be purely discrete, 2) stationary states correspond to simple
closed classical trajectories, 3) stochastically entangled motions are “pushed”
upward in energy to infinity.
This publication is cited in the following 15 articles:
V. P. Gerdt, Yu. G. Palii, A. M. Khvedelidze, “Light-cone Yang–Mills mechanics: SU(2) vs. SU(3)”, Theoret. and Math. Phys., 155:1 (2008), 557–566
Sergei G Matinyan, Berndt Müller, “Adventures of the coupled Yang–Mills oscillators: I. Semiclassical expansion”, J. Phys. A: Math. Gen., 39:1 (2006), 45
Corneliu Sochichiu, “Notes on the dynamics of noncommutative lumps”, J. Phys. A: Math. Gen., 35:13 (2002), 3125
B. V. Medvedev, “Hamiltonian and commutation relations”, Theoret. and Math. Phys., 122:3 (2000), 269–277
A.M Khvedelidze, H.-P Pavel, “On the groundstate of Yang–Mills quantum mechanics”, Physics Letters A, 267:2-3 (2000), 96
J. Bartels, O. Brüning, B. Raabe, “Numerical analysis of tunneling paths in constant field SU(2) lattice gauge theory”, Z. Phys. C - Particles and Fields, 53:2 (1992), 277
B. V. Medvedev, “Dynamic stochasticity and integrals of the motion”, Theoret. and Math. Phys., 79:3 (1989), 618–627
M. A. Soloviev, “Geometry of classical mechanics with non-Abelian gauge symmetry”, Theoret. and Math. Phys., 73:1 (1987), 1019–1028
Javier Villarroel, “Constraints in Yang-Mills classical mechanics”, Physics Letters B, 181:3-4 (1986), 321
Citation in format AMSBIB
Contact us: