scholarly journals Quasi-exactly solvable hyperbolic potential and its anti-isospectral counterpart

2021 ◽  
pp. 168743
Author(s):  
E. Condori-Pozo ◽  
M.A. Reyes ◽  
H.C. Rosu
Keyword(s):  
Exactly Solvable ◽  
Hyperbolic Potential

scholarly journals Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Axel Schulze-Halberg
Keyword(s):  
Schrödinger Equation ◽  
Effective Mass ◽  
Explicit Form ◽  
Schrodinger Equation ◽  
Intermolecular Potential ◽  
Third Order ◽  
Exact Solvability ◽  
Exactly Solvable ◽  
Hyperbolic Potential

It is shown that a nonsolvable third-order hyperbolic potential becomes quasi-exactly solvable after the introduction of a hyperbolic effective mass step. Stationary energies andL2-solutions of the corresponding Schrödinger equation are obtained in explicit form.

scholarly journals PT-SYMMETRIC NONPOLYNOMIAL OSCILLATORS AND HYPERBOLIC POTENTIAL WITH TWO KNOWN REAL EIGENVALUES IN A SUSY FRAMEWORK

2002 ◽  
Vol 17 (08) ◽  
pp. 463-473 ◽  
Author(s):  
B. BAGCHI ◽  
C. QUESNE
Keyword(s):  
Excited State ◽  
Ground State ◽  
Complex Domain ◽  
Exactly Solvable ◽  
Comparative Advantages ◽  
First Excited State ◽  
Hyperbolic Potential

Extending the supersymmetric method proposed by Tkachuk to the complex domain, we obtain general expressions for superpotentials allowing generation of quasi-exactly solvable PT-symmetric potentials with two known real eigenvalues (the ground state and first-excited state energies). We construct examples, namely those of complexified nonpolynomial oscillators and of a complexified hyperbolic potential, to demonstrate how our scheme works in practice. For the former we provide a connection with the sl(2) method, illustrating the comparative advantages of the supersymmetric one.

Exactly Solvable Chaos as Communication Waveforms

2014 ◽  
Vol 2 ◽  
pp. 217-220 ◽  
Author(s):  
Ned J. Corron ◽  
Jonathan N. Blakely
Keyword(s):  
Exactly Solvable

scholarly journals Interaction between Different Kinds of Quantum Phase Transitions

2021 ◽  
Vol 3 (2) ◽  
pp. 253-261
Author(s):  
Angel Ricardo Plastino ◽  
Gustavo Luis Ferri ◽  
Angelo Plastino
Keyword(s):  
Phase Transitions ◽  
Nuclear Physics ◽  
Body Problem ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Many Body ◽  
Pairing Interaction ◽  
Exactly Solvable

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one that resembles the so-called quadrupole one, much used in nuclear physics as a residual interaction. The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings).

scholarly journals Page curves for a family of exactly solvable evaporating black holes

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Xuanhua Wang ◽  
Ran Li ◽  
Jin Wang
Keyword(s):  
Black Holes ◽  
Exactly Solvable
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