科研之友
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摘要
Finite Hamiltonian systems contain operators of position, momentum, and energy, having a finite number N of equally-spaced eigenvalues. Such systems are under the 'is of the algebra su(2), and their phase space is a sphere. Rigid motions of this phase space form the group SU(2); overall phases complete this to U(2). But since N-point states can be subject to U(N) aS integral U(2) transformations, the rest of the generators will provide all N (2) unitary transformations of the states, which appear as nonlinear transformations-aberrations-of the system phase space. They are built through the "finite quantization" of a classical optical system.
- 出版日期2010-3
