44 citations · 321 across the 36 of their papers we have counts for
3 papers · 1 filter
Symmetries of Non-Linear Systems: Group Approach to their Quantization
V. Aldaya, M. Calixto, J. Guerrero +1
We report briefly on an approach to quantum theory entirely based on symmetry grounds which improves Geometric Quantization in some respects and provides an alternative to the cano…
The quantum Arnold transformation
Victor Aldaya, Francisco Cossio, Julio Guerrero +1
By a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order…
Harmonic states for the free particle
Julio Guerrero, Francisco F. López-Ruiz, Victor Aldaya +1
Different families of states, which are solutions of the time-dependent free Schrödinger equation, are imported from the harmonic oscillator using the Quantum Arnold Transformation…