Quasilinearization method and its verification on exactly solvable models in quantum mechanics

1999 ◽  
Vol 40 (12) ◽  
pp. 6266-6291 ◽  
Author(s):  
V. B. Mandelzweig
Keyword(s):  
Quantum Mechanics ◽  
Quasilinearization Method ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Exactly Solvable

LIE-ALGEBRAIC APPROACH TO THE PROBLEM OF QUASI-EXACT SOLUBILITY IN QUANTUM MECHANICS

1990 ◽  
Vol 05 (23) ◽  
pp. 1891-1899 ◽  
Author(s):  
A. G. USHVERIDZE
Keyword(s):  
Quantum Mechanics ◽  
Lie Algebras ◽  
Algebraic Approach ◽  
New Method ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Simple Lie Algebras ◽  
Infinite Dimensional ◽  
Exactly Solvable

A new method of constructing quasi-exactly solvable models of quantum mechanics is proposed. This method is based on the use of infinite-dimensional representations of simple and semi-simple Lie algebras.

QUASI-EXACTLY SOLVABLE MULTI-DIMENSIONAL SCHRÖDINGER EQUATIONS

1991 ◽  
Vol 06 (11) ◽  
pp. 977-979 ◽  
Author(s):  
A.G. USHVERIDZE
Keyword(s):  
Quantum Mechanics ◽  
New Method ◽  
Schrodinger Equations ◽  
Exactly Solvable Models ◽  
Schrödinger Equations ◽  
Solvable Models ◽  
Exactly Solvable

A new method of constructing multi-dimensional quasi-exactly solvable models of quantum mechanics is proposed.

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