Rigid rotations in two-electron atoms in a uniform magnetic field

Ettore Majorana

Yanping Xiao, Meimei Lai, Ji-Xuan Hou +2 more

When the motion of a particle is constrained, an excess term exists using hermitian form of Cartesian momentum p i ( i =1,2,3) in usual kinetic energy (1/2μ) ∑ p i 2 , and the correct kinetic energy turns out to be (1/2μ) ∑ (1/ f i ) p i f i p i , where the f i are dummy factors in classical mechanics and nontrivial in quantum mechanics. In this paper the explicit form of the dummy functions f i is given for a charged rigid planar rotator in the uniform magnetic field.

Ettore Majorana, M. Inguscio

Xiao Xiao, Yanping, Lai +7 more

When the motion of a particle is constrained, an excess term exists using hermitian form of Cartesian momentum pi (i = 1, 2, 3) in usual kinetic energy (1/2μ)∑p2i, and the correct kinetic energy turns out to be (1/2μ) ∑(1/ fi)pifipi, where the fi are dummy factors in classical mechanics and nontrivial in quantum mechanics. In this paper the explicit form of the dummy functions fi is given for a charged rigid planar rotator in the uniform magnetic field.

XIAOYan-Ping, LAIMei-Mei, HOUJi-Xuan +2 more

When the motion of a particle is constrained, an excess term exists using hermitian form of Cartesian momentum pi (i = 1, 2, 3) in usual kinetic energy (1/2μ)∑p2i, and the correct kinetic energy turns out to be (1/2μ) ∑(1/ fi)pifipi, where the fi are dummy factors in classical mechanics and nontrivial in quantum mechanics. In this paper the explicit form of the dummy functions fi is given for a charged rigid planar rotator in the uniform magnetic field.

F. Suekane