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Wavelets and the squeezed states of quantum optics
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Defacio, B. |
| Copyright Year | 1992 |
| Description | Wavelets are new mathematical objects which act as 'designer trigonometric functions.' To obtain a wavelet, the original function space of finite energy signals is generalized to a phase-space, and the translation operator in the original space has a scale change in the new variable adjoined to the translation. Localization properties in the phase-space can be improved and unconditional bases are obtained for a broad class of function and distribution spaces. Operators in phase space are 'almost diagonal' instead of the traditional condition of being diagonal in the original function space. These wavelets are applied to the squeezed states of quantum optics. The scale change required for a quantum wavelet is shown to be a Yuen squeeze operator acting on an arbitrary density operator. |
| File Size | 552784 |
| Page Count | 14 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19920012833 |
| Archival Resource Key | ark:/13960/t7jq5wd8t |
| Language | English |
| Publisher Date | 1992-02-01 |
| Access Restriction | Open |
| Subject Keyword | Optics Operators Mathematics Function Space Quantum Mechanics Quantum Optics Translating Trigonometric Functions Quantum Theory Squeezed States Quantum Theory Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
