43 citations · 160 across the 9 of their papers we have counts for
9 papers
Commensurate Harmonic Oscillators: Classical Symmetries
Jean-Pierre Amiet, Stefan Weigert
The symmetry properties of a classical N-dimensional harmonic oscillator with rational frequency ratios are studied from a global point of view. A commensurate oscillator possesses…
The Wigner Kernel of a Particle obtained from the Wigner Kernel of a Spin by Group Theoretical Contraction
Jean-Pierre Amiet, Stefan Weigert
The Moyal formalism for a particle can be derived from the Moyal formalism for a spin. This is done by contracting the group of rotations to the oscillator group. A new derivation…
Contracting the Wigner-Kernel of a Spin to the Wigner-Kernel of a Particle
Jean-Pierre Amiet, Stefan Weigert
A general relation between the Moyal formalisms for a spin and a particle is established. Once the formalism has been set up for a spin, the phase-space description of a particle i…
Discrete Q- and P-symbols for spin s
Jean-Pierre Amiet, Stefan Weigert
Non-orthogonal bases of projectors on coherent states are introduced to expand hermitean operators acting on the Hilbert space of a spin s. It is shown that the expectation values…
Coherent States and the Reconstruction of Pure Spin States
Jean-Pierre Amiet, Stefan Weigert
Coherent states provide an appealing method to reconstruct efficiently a pure state of a quantum mechanical spin s. A Stern-Gerlach apparatus is used to measure (4s+1) expectations…
Reconstructing the density matrix of a spin s through Stern-Gerlach measurements (II)
Jean-Pierre Amiet, Stefan Weigert
The density matrix of a spin s is fixed uniquely if the probabilities to obtain the value s upon measuring n.S are known for 4s(s+1) appropriately chosen directions n in space. The…
Reconstructing a pure state of a spin s through three Stern-Gerlach measurements
Jean-Pierre Amiet, Stefan Weigert
Consider a spin s prepared in a pure state. It is shown that, generically, the moduli of the (2s+1) spin components along three directions in space determine the state unambiguousl…
On the Convergence to Ergodic Behaviour of Quantum Wave Functions
Ph. Jacquod, J. -P. Amiet
We study the decrease of fluctuations of diagonal matrix elements of observables and of Husimi densities of quantum mechanical wave functions around their mean value upon approachi…
Evidence for the Validity of the Berry-Robnik Surmise in a Periodically Pulsed Spin System
PH. Jacquod, J. -P. Amiet
We study the statistical properties of the spectrum of a quantum dynamical system whose classical counterpart has a mixed phase space structure consisting of two regular regions se…