Abstract
Gaussian Klauder coherent states are discussed in the context of the infinite well quantum model, otherwise known as the particle in a box. A supersymmetric partner system is also presented, as well as a construction of coherent states in this new system. We show that these states can be chosen, in both systems to have many properties usually expected for coherent states. In particular, they yield highly localised wave packets for a short period of time, which evolve in a quasi-classical manner and which saturate approximately Heisenberg uncertainty relation. These studies are elaborated in one- and two-dimensional contexts. Finally, some relations are established between the Gaussian states being mostly used here and the generalised coherent states, which are more standardly found in the literature.
Highlights
The study of coherent states in quantum mechanics is a subject very well documented [1, 2, 3, 4, 5, 6]
Conclusion and future work SUSY partners of the infinite well have been constructed and have shown to satisfy relevant properties compared with the ones of the original quantum system
For the 1D system, we have constructed a set of coherent states (GCS) which depends on real and discrete parameters
Summary
The study of coherent states in quantum mechanics is a subject very well documented [1, 2, 3, 4, 5, 6]. Gaussian Klauder coherent states for the infinite well As mentioned in the introduction, the gaussian Klauder coherent states (GCS) can be built for many different systems as a special superposition of energy eigenstates in order to get a reasonably well localised probability density distribution for a short period of time [9]. They have proven to be relevant for the study of the harmonic oscillator and the infinite well. We have adhered to this point of view in the current work
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
