Algebraic approach to non-separable two-dimensional Schrödinger equation: Ground states for polynomial and Morse-like potentials

• Autorzy: Vladimír Tichý , Lubomír Skála , René Hudec
• Języki publikacji: EN

Abstrakty

EN

This paper presents a direct algebraic method of searching for analytic solutions of the two-dimensional time-independent Schrödinger equation that is impossible to separate into two one-dimensional ones. As examples, two-dimensional polynomial and Morse-like potentials are discussed. Analytic formulas for the ground state wave functions and the corresponding energies are presented. These results cannot be obtained by another known method.

Słowa kluczowe

EN

algebraic methods; analytical methods; quantum mechanics

• Czasopismo: Open Physics
• Rocznik: 2014
• Tom: 12
• Numer: 10
• Strony: 730-736

Daty

wydano

2014-10-01

online

2014-08-16

Twórcy

autor

Vladimír Tichý

• Faculty of Electrical Engineering, Czech Technical University in Prague, Technická 2, 16627, Prague 6, Czech Republic,

autor

Lubomír Skála

• Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 12116, Prague 2, Czech Republic

autor

René Hudec

• Faculty of Electrical Engineering, Czech Technical University in Prague, Technická 2, 16627, Prague 6, Czech Republic

Bibliografia

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Identyfikatory

DOI

10.2478/s11534-014-0484-5