Quantum Mechanics, Non-relativistic Theory |
From inside the book
Results 1-3 of 42
Page 30
... infinity ; For , with eigenfunctions of a discrete spec- trum , the integral ƒ Y2 dq , taken over all space , is finite . This certainly means that the squared modulus 2 decreases quite rapidly , becoming zero at infinity . In other ...
... infinity ; For , with eigenfunctions of a discrete spec- trum , the integral ƒ Y2 dq , taken over all space , is finite . This certainly means that the squared modulus 2 decreases quite rapidly , becoming zero at infinity . In other ...
Page 51
... infinity are states of finite motion of the particle . For , in the stationary states of a continuous spectrum , which correspond to infinite motion , the particle reaches infinity ( see §10 ) ; however , at sufficiently large distances ...
... infinity are states of finite motion of the particle . For , in the stationary states of a continuous spectrum , which correspond to infinite motion , the particle reaches infinity ( see §10 ) ; however , at sufficiently large distances ...
Page 58
... infinity , the constant must be zero , and so 41'′42—4142 ′ = 0 , or 41 / 41 = 42/42 . Integrating again , we obtain two functions are essentially identical . ( 19.2 ) - constant x , i.e. the The following theorem † ( called the ...
... infinity , the constant must be zero , and so 41'′42—4142 ′ = 0 , or 41 / 41 = 42/42 . Integrating again , we obtain two functions are essentially identical . ( 19.2 ) - constant x , i.e. the The following theorem † ( called the ...
Contents
THE BASIC CONCEPTS OF QUANTUM MECHANIC 1 The uncertainty principle | 1 |
2 The principle of superposition | 6 |
3 Operators | 8 |
Copyright | |
128 other sections not shown
Other editions - View all
Common terms and phrases
A₁ angle antisymmetrical approximation asymptotic atom axes axis C₁ C₂ calculated classical mechanics coefficients collision commute complex conjugate components condition constant continuous spectrum corresponding definite values degeneracy denote determined diagonal discrete spectrum distances effective cross-section eigenfunctions eigenvalues elastic scattering electron terms energy levels expression factor finite follows formula given gives Hamiltonian Hence inelastic infinite infinity integral interaction irreducible representations L₁ L₂ Let us consider linear matrix elements mean value molecule momenta motion normalised nuclei obtain operator orbital angular momentum orthogonal particle perturbation theory physical quantity plane potential energy probability PROBLEM quantity ƒ quantum mechanics quantum number quasi-classical relation respect result rotation scattering amplitude SCHRÖDINGER's equation solution spinor spinor of rank splitting stationary Substituting suffixes symmetry symmetry group tion total angular momentum total spin transformation transitions vanishes variables vector velocity vibrations wave function zero