Luca Salasnich and Fabio Sattin 1997 J. Phys. A: Math. Gen. 30 7597 doi:10.1088/0305-4470/30/21/028
On the convergence of the WKB series for the angular momentum operator
Luca Salasnich
,
,§ and Fabio Sattin
In this paper we prove a recent conjecture about the convergence of the WKB series for the angular momentum operator. We demonstrate that the WKB algorithm for the angular momentum gives the exact quantization formula if all orders are summed. Finally, we discuss the supersymmetric semiclassical quantum mechanics (SWKB), which gives the correct quantization of the angular momentum at the leading order.
- PACS
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03.65.Sq Semiclassical theories and applications
- MSC
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81Q60 Supersymmetric quantum mechanics
81R15 Operator algebra methods (See also 46Lxx, 81T05)
81S10 Geometry and quantization, symplectic methods (See also 53D50)
81Q20 Semiclassical techniques including WKB and Maslov methods
- Subjects
- Dates
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Issue 21 (7 November 1997)
Received 29 July 1997
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On the convergence of the WKB series for the angular momentum operator
Luca Salasnich and Fabio Sattin 1997 J. Phys. A: Math. Gen. 30 7597
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