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7. Compare the functional form of the wavefunction derived for a particle confined to a 2D...
8. Compare the expression derived for translational energy for a particle confined to a 2D plane,...
8. Compare the expression derived for translational energy for a particle confined to a 2D plane, Em..., to one confined to a 1D line, E, or E. Does there appear to be a general relationship between the two solutions? If so, specifically identify how they are related. Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined to a plane defined in Model 1. V.,„, (x,y)= \sin ",7 sin ", Ty E. (x,y) =...
Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined...
Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined to a plane defined in Model 1. V ... (x,y)= sin" ve sin Phylly Vaba b E (x,y) = ";" nhº nhỏ 8ma? '8mb? The contour plots below represent three different wavefunctions for a system such that a = b corresponding to the length of the horizontal x axis and vertical y axis, respectively. be (ii) (iii) 16. Draw and label an energy diagram...
Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined...
Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined to a plane defined in Model 1. n joc inn ny -sin- ab nh² nh² E, (x,y)=- +- 8ma? 8mb? The contour plots below represent three different wavefunctions for a system such that a = b corresponding to the length of the horizontal x axis and vertical y axis, respectively. b- (iii) 12. Identify the values of the quantum numbers n, and n, for...
8.4 The Two-Dimensional Central-Force Problem The 2D harmonic oscillator is a 2D central force pr...
8.4 The Two-Dimensional Central-Force Problem The 2D harmonic oscillator is a 2D central force problem (as discussed in TZD Many physical systems involve a particle that moves under the influence of a central force; that is, a force that always points exactly toward, or away from, a force center O. In classical mechanics a famous example of a central force is the force of the sun on a planet. In atomic physics the most obvious example is the hydrogen atom,...
8. Compare the expression derived for translational energy for a particle confined to a 2D plane, Em..., to one confined to a 1D line, E, or E. Does there appear to be a general relationship between the two solutions? If so, specifically identify how they are related. Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined to a plane defined in Model 1. V.,„, (x,y)= \sin ",7 sin ", Ty E. (x,y) =...
Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined to a plane defined in Model 1. V ... (x,y)= sin" ve sin Phylly Vaba b E (x,y) = ";" nhº nhỏ 8ma? '8mb? The contour plots below represent three different wavefunctions for a system such that a = b corresponding to the length of the horizontal x axis and vertical y axis, respectively. be (ii) (iii) 16. Draw and label an energy diagram...
Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined to a plane defined in Model 1. n joc inn ny -sin- ab nh² nh² E, (x,y)=- +- 8ma? 8mb? The contour plots below represent three different wavefunctions for a system such that a = b corresponding to the length of the horizontal x axis and vertical y axis, respectively. b- (iii) 12. Identify the values of the quantum numbers n, and n, for...
8.4 The Two-Dimensional Central-Force Problem The 2D harmonic oscillator is a 2D central force problem (as discussed in TZD Many physical systems involve a particle that moves under the influence of a central force; that is, a force that always points exactly toward, or away from, a force center O. In classical mechanics a famous example of a central force is the force of the sun on a planet. In atomic physics the most obvious example is the hydrogen atom,...
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