It is demonstrated for one‐dimensional Hamiltonians, and under a special hypothesis on the ground state wave function, that it is possible to build an analytical overcomplete basis that generalizes the coherent state basis of the harmonic oscillator, without any reference to group theory. The semi‐classical consequences of this formalism are developed and the usual ideas of normal and antinormal expansions for operators are extended.
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© 1995 American Institute of Physics.
1995
American Institute of Physics
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