Using Sylvesters theoren in Quantum Mechanics
$begingroup$
2-d system consists of $N$ identical cells arranged linearly in series. The transfer matrix of a single cell is a unitary Hermitian 2x2 matrix with eigen values $Exp(pm itimestheta)$
Need to use Sylvester theorem to deduce the values of $theta$ , for which transmission coef through the system is equal to 1.
Please guide me guys how to apply it, any formulas, professor gave us this problem, but he never mentioned Syslvesters theorem, I looked online, and I got so confused
eigenvalues-eigenvectors quantum-mechanics
edited Jan 16 at 1:27
tinlyx
95421118
asked Jan 16 at 0:46
John SmithJohn Smith
43
$endgroup$
add a comment |
$begingroup$
2-d system consists of $N$ identical cells arranged linearly in series. The transfer matrix of a single cell is a unitary Hermitian 2x2 matrix with eigen values $Exp(pm itimestheta)$
Need to use Sylvester theorem to deduce the values of $theta$ , for which transmission coef through the system is equal to 1.
Please guide me guys how to apply it, any formulas, professor gave us this problem, but he never mentioned Syslvesters theorem, I looked online, and I got so confused
eigenvalues-eigenvectors quantum-mechanics
edited Jan 16 at 1:27
tinlyx
95421118
asked Jan 16 at 0:46
John SmithJohn Smith
43
$endgroup$
add a comment |
$begingroup$
2-d system consists of $N$ identical cells arranged linearly in series. The transfer matrix of a single cell is a unitary Hermitian 2x2 matrix with eigen values $Exp(pm itimestheta)$
Need to use Sylvester theorem to deduce the values of $theta$ , for which transmission coef through the system is equal to 1.
Please guide me guys how to apply it, any formulas, professor gave us this problem, but he never mentioned Syslvesters theorem, I looked online, and I got so confused
eigenvalues-eigenvectors quantum-mechanics
edited Jan 16 at 1:27
tinlyx
95421118
asked Jan 16 at 0:46
John SmithJohn Smith
43
$endgroup$
2-d system consists of $N$ identical cells arranged linearly in series. The transfer matrix of a single cell is a unitary Hermitian 2x2 matrix with eigen values $Exp(pm itimestheta)$
Need to use Sylvester theorem to deduce the values of $theta$ , for which transmission coef through the system is equal to 1.
Please guide me guys how to apply it, any formulas, professor gave us this problem, but he never mentioned Syslvesters theorem, I looked online, and I got so confused
eigenvalues-eigenvectors quantum-mechanics
eigenvalues-eigenvectors quantum-mechanics
edited Jan 16 at 1:27
tinlyx
95421118
asked Jan 16 at 0:46
John SmithJohn Smith
43
edited Jan 16 at 1:27
tinlyx
95421118
asked Jan 16 at 0:46
John SmithJohn Smith
43
edited Jan 16 at 1:27
tinlyx
95421118
edited Jan 16 at 1:27
tinlyx
95421118
edited Jan 16 at 1:27
tinlyx
95421118
95421118
asked Jan 16 at 0:46
John SmithJohn Smith
43
asked Jan 16 at 0:46
John SmithJohn Smith
43
asked Jan 16 at 0:46
John SmithJohn Smith
43
43
add a comment |
add a comment |
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