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.
On the convergence of the WKB series for the angular momentum operator
SALASNICH, LUCA;
1997
Abstract
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Luca_Salasnich_1997_J._Phys._A__Math._Gen._30_028.pdf
accesso aperto
Descrizione: articolo principale
Tipologia:
Published (Publisher's Version of Record)
Licenza:
Accesso gratuito
Dimensione
97.25 kB
Formato
Adobe PDF
|
97.25 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
