## 2,031 Citations

Supersymmetry in quantum mechanics

- Physics
- 1997

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 understanding of why…

Supersymmetry in quantum mechanics

- Physics, Mathematics
- 2001

An elementary introduction is given to the subject of supersymmetry in quantum mechanics which can be understood and appreciated by any one who has taken a first course in quantum mechanics. We…

Supersymmetric Quantum Mechanics and Path Integrals

- Physics
- 2019

Supersymmetry plays a main role in all current thinking about superstring theory. Indeed, many remarkable properties of string theory have been explained using supersymmetry as a tool. In this…

Exceptional orthogonal polynomials and new exactly solvable potentials in quantum mechanics

- Physics, Mathematics
- 2012

In recent years, one of the most interesting developments in quantum mechanics has been the construction of new exactly solvable potentials connected with the appearance of families of exceptional…

Supersymmetric quantum mechanics: Engineered hierarchies of integrable potentials and related orthogonal polynomials

- Mathematics, Physics
- 2012

Within the context of supersymmetric quantum mechanics and its related hierarchies of integrable quantum Hamiltonians and potentials, a general programme is outlined and applied to its first two…

Quantum mechanics probes superspace

- Physics, Mathematics
- 2014

We study quantum mechanics in one space dimension in the stochastic formalism. We show that the partition function of the theory is, in fact, equivalent to that of a model, whose action is explicitly…

Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions

- Physics
- 2011

The development in the study of supersymmetric many-particle quantum systems with inverse-square interactions is reviewed. The main emphasis is on quantum systems with dynamical OSp(2|2)…

Trends in Supersymmetric Quantum Mechanics

- Physics, MathematicsIntegrability, Supersymmetry and Coherent States
- 2019

Along the years, supersymmetric quantum mechanics (SUSY QM) has been used for studying solvable quantum potentials. It is the simplest method to build Hamiltonians with prescribed spectra in the…

Supersymmetry Quantum Mechanics and Exact Solutions ofthe Effective Mass of Schrodinger Equations with Rosen-Morse Potential

- 2014

In quantum mechanics a localized attractive potential typically supports a (possibly infinite) set of bound states, characterized by a discrete spectrum of allowed energies, together with a continuum…

Exactly solvable new classes of potentials with finite discrete energies

- Results in Physics
- 2020

Abstract In this work, we propose more realistic models with discrete and finite number of energy levels that could fit well to molecules with potentials that were modeled previously as harmonic…

## References

SHOWING 1-10 OF 553 REFERENCES

Supersymmetry in Quantum Mechanics

- Physics
- 1990

A pedagogical review on supersymmetry in quantum mechanis is presented which provides a comprehensive coverage of the subject. First, the key ingredients on the quantization of the systems with…

New exactly solvable Hamiltonians: Shape invariance and self-similarity.

- Physics, MedicinePhysical review. A, Atomic, molecular, and optical physics
- 1993

A class of exactly solvable Hamiltonians is further enlarged by examining two new directions: changes of parameters which are different from the previously studied cases of translation and scaling and extending the usual concept of shape invariance in one step to a multistep situation.

Supersymmetry in Quantum Mechanics

- Physics
- 1986

We give some illustrations and interpretations of supersymmetry in quantum mechanics in simple models. We show that the value of 2 for the g factor of the electron expresses the presence of…

NEW FINDINGS IN QUANTUM MECHANICS (PARTIAL ALGEBRAIZATION OF THE SPECTRAL PROBLEM)

- Physics
- 1989

We discuss a new class of spectral problems discovered recently which occupies an intermediate position between the exactly-solvable problems (like the famous harmonic oscillator) and all others. The…

New shape invariant potentials in supersymmetric quantum mechanics

- Physics
- 1993

Quantum mechanical potentials satisfying the property of shape invariance are well known to be algebraically solvable. Using a scaling ansatz for the change of parameters, the authors obtain a large…

Aspects of Supersymmetric Quantum Mechanics

- Physics
- 1983

Abstract We review the properties of supersymmetric quantum mechanics for a class of models proposed by Witten. Using both Hamiltonian and path integral formulations, we give general conditions for…

Supersymmetry and the Dirac equation

- Physics
- 1988

Abstract We discuss in detail two supersymmetries of the 4-dimensional Dirac operator / kD 2 where / kD = ∂ − ieA , namely the usual chiral supersymmetry and a separate complex supersymmetry. Using…

Supersymmetry-inspired WKB approximation in quantum mechanics

- Physics
- 1991

The supersymmetry‐inspired WKB approximation (SWKB) in quantum mechanics is discussed in detail. The SWKB method can be easily applied to any potential whose ground‐state wave function is known. It…

Recent Developments in Gauge Theories

- Physics
- 1980

Almost all theories of fundamental interactions are nowadays based on the gauge concept. Starting with the historical example of quantum electrodynamics, we have been led to the successful unified…

Large N limits as classical mechanics

- Physics
- 1982

This paper discusses the sense in which the large $N$ limits of various quantum theories are equivalent to classical limits. A general method for finding classical limits in arbitrary quantum…