A properly Hermitian anharmonic Grassmannian oscillator involves higher powers of quadratics in coordinates x and momenta p, as well as the scaling operator xp, and the Hamiltonian looks very different from the conventional bosonic case. Because these fermionic multinomials act on a finite space, it is possible to solve such problems completely. We do so for a number of typical examples.
History
Publication title
Physical Review D
Volume
41
Pagination
679-681
ISSN
0556-2821
Department/School
School of Natural Sciences
Publisher
American Physical Soc
Place of publication
One Physics Ellipse, College Pk, USA, Md, 20740-3844