Minimum Uncertainty States of the Electromagnetic Field.
POLYTECHNIC INST OF BROOKLYN N Y DEPT OF ELECTRICAL ENGINEERING
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Two new vector bases suitable for the representations of states of the electromagnetic field and operators affecting them are introduced. The minimum uncertainty states gamma , comprising the coherent states alpha , are shown to form an overcomplete nonorthogonal set. The n sub gamma states form a complete orthogonal set. The various relations they satisfy are derived via an oscillator frequency transformation. The corresponding similarity transformation of the non-normal operator changes the physical structure of its characteristic states. The photon statistics of the states gamma and n sub gamma are discussed and it is shown that they could display anticorrelation effects. The dynamics of the minimum uncertainty states in the presence of interaction are discussed and the most general Hamiltonian under which these states retain their minimum uncertainty property at all times is given. Author
- Quantum Theory and Relativity