Bound States in n Dimensions (Especially n = 1 and n = 2)

2001/12/31 by N. N. Khuri, A. Martin, T.-T. Wu · 1 voice · 1 citation
Mathematics · #Advanced Operator Algebra Research #Random Matrices and Applications #Spectral Theory in Mathematical Physics

paper · doi:10.1007/s006010200003

crossref issued 2002/05/01 · crossref published 2002/05/01 · crossref published-print 2002/05/01 · openalex publication_date 2002/05/01 · crossref created 2003/03/05 · openalex created_date 2016/06/24 · crossref deposited 2019/05/29 · crossref indexed 2026/03/13 · openalex updated_date 2026/07/28

Cited by

• Bound States in one and two Spatial Dimensions

Discussions

• I was looking for a bound on the number of bound states in a 1D potential (specifically a even, symmetric Lorentzian potential of the form:) $$ V(x) = -\frac{V_0}{1 + \left(\tfrac{x}{a}\right)^2}. $$ [stackexchange, 3 points]