Supersymmetry and quantum mechanics

F Cooper, A Khare, U Sukhatme - Physics Reports, 1995 - Elsevier
In the past ten years, the ideas of supersymmetry have been profitably applied to many
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …

Large-N expansions in quantum mechanics, atomic physics and some O (N) invariant systems

A Chatterjee - Physics Reports, 1990 - Elsevier
Some selected topics on the subject of large-N expansions are reviewed here. A brief
discussion of large-N critical phenomena is also presented. Generalizing the Schrödinger …

[BOOK][B] Atoms in strong magnetic fields: quantum mechanical treatment and applications in astrophysics and quantum chaos

H Ruder, G Wunner, H Herold, F Geyer - 2012 - books.google.com
In this book we summarize the essential results of our efforts over the years to calculate
energies, wave functions, and electromagnetic transitions of atoms as functions of the …

Hydrogen atoms in arbitrary magnetic fields. I. Energy levels and wavefunctions

W Rosner, G Wunner, H Herold… - Journal of Physics B …, 1984 - iopscience.iop.org
The energy values of many low-lying states of the one-electron problem in the presence of a
homogeneous magnetic field of arbitrary strength (0< B< or= 4.7* 10 8 T) are calculated with …

Scalar Casimir effect for a D-dimensional sphere

CM Bender, KA Milton - Physical Review D, 1994 - APS
The Casimir stress on a D-dimensional sphere (the stress on a sphere is equal to the
Casimir force per unit area multiplied by the area of the sphere) due to the confinement of a …

Energy eigenstates of spherically symmetric potentials using the shifted expansion

T Imbo, A Pagnamenta, U Sukhatme - Physical Review D, 1984 - APS
We show that an excellent analytic approximation to the energy eigenvalues and
eigenfunctions of the Schrödinger equation can be obtained using the shifted 1 N …

Shifted 1/N expansion for the Hulthén potential

AZ Tang, FT Chan - Physical Review A, 1987 - APS
Shifted 1/N expansion for the Hulthen potential Page 1 PHYSICAL REVIEW A VOLUME 35,
NUMBER 2 Shifted 1/N expansion for the Hulthen potential JANUARY 15, 1987 AZ Tang and …

Shifted expansions for energy eigenvalues of the Schrödinger equation

U Sukhatme, T Imbo - Physical Review D, 1983 - APS
The 1 N expansion is a useful way of solving the Schrödinger equation to very high orders.
We present a modified, physically motivated approach, called the shifted 1 N expansion …

Logarithmic approximations to polynomial Lagrangians

CM Bender, KA Milton, M Moshe, SS Pinsky… - Physical review …, 1987 - APS
A new perturbative computational scheme for solving quantum field theory is proposed. The
interaction term in the Lagrangean is expanded about a free-theory form, the expansion …

The hydrogen atom in strong magnetic fields: summation of the weak field series expansion

JC Le Guillou, J Zinn-Justin - Current Physics–Sources and Comments, 1990 - Elsevier
Using the weak field expansion, we have calculated the ground-state energy of the
hydrogen atom in a magnetic field for values of the field up to about 10 13 G. The …