On the Semi-Classical Expansion in Quantum Mechanics for Arbitrary Hamiltonians,
CENTER FOR NAVAL ANALYSES ARLINGTON VA
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The purpose of this paper is to extend to a very wide class of Hamiltonians the range of validity of a well-known and oft-used expression for the semi-classical WKB approximation to the quantum-mechanical propagator Kq sub b,t sub bq sub a,t sub a identically equal to q sub a,t sub bq sub a,t sub a, or probability amplitude that a particle at q sub a at time t sub a will arrive at q sub b at time t sub b.
- Quantum Theory and Relativity