Results 21 to 30 of about 20,755 (243)
In this paper, we show that the exact energy eigenvalues and eigen functions of the Schrodinger equation for charged particles moving in certain class of noncentral potentials can be easily calculated analytically in a simple and elegant manner by ...
C. Cari, Suparmi Suparmi, Antomi Saregar
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-fold supersymmetry in quantum mechanics: general formalism [PDF]
We report general properties of N-fold supersymmetry in one-dimensional quantum mechanics. N-fold supersymmetry is characterized by supercharges which are N-th polynomials of momentum.
Hideaki Aoyama +2 more
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Supersymmetry in Conformal Geometric and Number-Theoretical Quantum Mechanics
In this dissertation I work out a supersymmetric formulation of conformal geometric quantum mechanics, which based on ideas I started to develop in my Master’s thesis [77]. In this approach, supersymmetry provides a fundamental connection between conformal geometric quantum mechanics, the spectral geometry of Schrödinger operators and topology.
Kevin Yam
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In this paper, we show that the exact energy eigenvalues and eigenfunctions of the Schrödinger equation for charged particles moving in a certain class of noncentral potentials can be easily calculated analytically in a simple and elegant manner by using
Antomi Saregar
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New possibilities for supersymmetry breakdown in quantum mechanics and second-order irreducible Darboux transformations [PDF]
New types of irreducible second order Darboux transformations for the one dimensional Schroedinger equation are described. The main feature of such transformations is that the transformation functions have the eigenvalues grater then the ground state energy of the initial (or reference) Hamiltonian. When such a transformation is presented as a chain of
B. F. Samsonov
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Time independent cosmic string equation for Harmonic Oscillator and Poschl Teller non-central potential have been solved using supersymmetry quantum mechanics method.
Dyah Anggraini, Suparmi Suparmi, C. Cari
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Noncommutativity Approach to Supersymmetry on the Lattice: SUSY Quantum Mechanics and an Inconsistency [PDF]
It is argued that the noncommutativity approach to fully supersymmetric field theories on the lattice suffers from an inconsistency. Supersymmetric quantum mechanics is worked out in this formalism and the inconsistency is shown both in general and ...
Falk Bruckmann +2 more
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Supersymmetry and the quantum mechanics of spin
Abstract Bohr-Sommerfeld quantization is exact for a spin in a magnetic field. This well-known result is connected with the existence of a hidden supersymmetry. I discuss the supersymmetry and, in a broader context, the semiclassical quantum-mechanical interpretation of the Weyl character formula for compact, semisimple Lie groups.
M. Stone
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Integrals of motion, supersymmetric quantum mechanics and dynamical supersymmetry [PDF]
The class of relativistic spin particle models reveals the `quantization' of parameters already at the classical level. The special parameter values emerge if one requires the maximality of classical global continuous symmetries. The same requirement applied to a non-relativistic particle with odd degrees of freedom gives rise to supersymmetric quantum
Mikhail S. Plyushchay
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The paper reveals some remarkable form-invariance features of the ‘Jacobi-reference’ canonical Sturm–Liouville equation (CSLE) in the particular case of the density function with the simple pole at the origin.
Gregory Natanson
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