Coherent and squeezed states on physical basis |
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Authors: | R R Puri |
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Institution: | (1) Theoretical Physics Division, Central Complex, Bhabha Atomic Research Centre, 400 085 Bombay, India |
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Abstract: | A definition of coherent states is proposed as the minimum uncertainty states with equal variance in two hermitian non-commuting
generators of the Lie algebra of the hamiltonian. That approach classifies the coherent states into distinct classes. The
coherent states of a harmonic oscillator, according to the proposed approach, are shown to fall in two classes. One is the
familiar class of Glauber states whereas the other is a new class. The coherent states of spin constitute only one class.
The squeezed states are similarly defined on the physical basis as the states that give better precision than the coherent
states in a process of measurement of a force coupled to the given system. The condition of squeezing based on that criterion
is derived for a system of spins. |
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Keywords: | Coherent state squeezed state Lie algebra SU (m n) |
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