最終更新日：2025/12/03
(quantum mechanics) A concept relating to energy spectra. Let H be the one-dimensional Schrödinger equation operator H=-(d²)/(dx²)+U_𝛼, where U_α is a periodic function of period α. The Bloch spectrum of H is the set of values E for which all the solutions of (H − E)φ = 0 are bounded on the whole real axis.
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Bloch spectrum
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元となった辞書の項目
Bloch spectrum
名詞
(quantum
mechanics)
A
concept
relating
to
energy
spectra.
Let
H
be
the
one-dimensional
Schrödinger
equation
operator
H=-(d²)/(dx²)+U_𝛼,
where
U_α
is
a
periodic
function
of
period
α.
The
Bloch
spectrum
of
H
is
the
set
of
values
E
for
which
all
the
solutions
of
(H
−
E)φ
=
0
are
bounded
on
the
whole
real
axis.
日本語の意味
量子力学において、周期的なポテンシャルを持つ1次元シュレディンガー方程式の演算子Hに関連するエネルギー固有値の集合、すなわち全実数軸上で解が有界となるエネルギーのセット
意味（1）
(quantum
mechanics)
A
concept
relating
to
energy
spectra.
Let
H
be
the
one-dimensional
Schrödinger
equation
operator
H=-(d²)/(dx²)+U_𝛼,
where
U_α
is
a
periodic
function
of
period
α.
The
Bloch
spectrum
of
H
is
the
set
of
values
E
for
which
all
the
solutions
of
(H
−
E)φ
=
0
are
bounded
on
the
whole
real
axis.
