«HERMITIAN CONJUGATE»に関連する英語の本
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1
Introduction to Linear Algebra, 2nd edition
The hermitian conjugate of a complex matrix This section will cover some new
but fairly elementary work concerning complex matrices. We shall denote by a
the complex conjugate of the complex number a. For an arbitrary complex matrix
A ...
2
Explorations in Mathematical Physics: The Concepts Behind an ...
The reason is that the hermitian conjugate of a matrix is simply defined to be its
conjugate transpose, and for the vectors that usually represent bras and kets,
forming the dual means taking the conjugate transpose: [a* b*] «=> \a) (2.128)
since ...
3
Quantum Mechanics in Chemistry
The complex conjugate of a trace is equivalent to the trace of the hermitian
conjugate of the operators appearing in the trace in reverse order (as is easily
shown). Since G is hermitian, this hermitian conjugate can be written as (8.38)
where F+ ...
George C. Schatz, Mark A. Ratner,
2002
4
Numerical Recipes 3rd Edition: The Art of Scientific Computing
It is called Hermitian or self-adjoint if it equals the complex conjugate of its
transpose (its Hermitian conjugate, denoted by "f") A = At or dij = dji* (11.0.4) It is
termed orthogonal if its transpose equals its inverse, Ar-A = A-Ar = l (11.0.5) and ...
We would also like it to be quadratic in ip and its hermitian conjugate ^T, because
this will lead to a linear equation of motion, with plane-wave solutions. We want
plane-wave solutions because these describe free particles, the starting point ...
6
Mathematical Physics: A Modern Introduction to Its Foundations
The complex conjugate of the expectation value is5 In words, Tf, the hermitian
conjugate of T, has an expectation value that is the complex conjugate of the
latter's expectation value. In particular, if T is hermitian — is equal to its hermitian
...
7
Quantum Mechanics with Applications to Nanotechnology and ...
A.2.3 NORMAL, UNITARY, HERMITIAN-CONJUGATE AND HERMITIAN
OPERATORS In Sec. 1.3.2, we defined the Hermitian conjugate of an operator (9,
(9T, to be the operator that satisfies the following equation for any vectors Ill/1)
and ...
Yehuda B. Band, Yshai Avishai,
2013
7.2.2 Hermitian conjugation In the case of a bounded operator there is no
difficulty of principle in defining the Hermitian conjugate operator A† of A by A = A
† (7.20) As in the case of finite dimension, it is said that A is Hermitian if A = A†,
and ...
We can then define the hermitian adjoint or hermitian conjugate to this vector,
denoted by b^, as the row vector with complex conjugate elements b\, b^, b^, ...
running horizontally. Hermitian conjugation converts a column vector into a row ...
10
Numerical Recipes in Pascal (First Edition): The Art of ...
A matrix is called symmetric if it is equal to its transpose, A = AT or ay = dji (11.0.3
) It is called Hermitian or self-adjoint if it equals the complex-conjugate of its
transpose (its Hermitian conjugate, denoted by "f") A = A^ or ay = ajt* (11.0.4) It is
...
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Quasiparticle Signatures in Quantum Spin Liquids
In real space, the Majorana fermion is described by a real field that is equal to its Hermitian conjugate: r r . In momentum space, this means that ... «Physics, 5月 14»
Liberating anyons from two dimensions
Uniquely for the zero energy mode, the creation part is the Hermitian conjugate of the annihilation part, making the mode a “Majorana fermion” ... «Physics, 1月 10»
Synthesizing arbitrary quantum states in a superconducting resonator
Here σ+ and σ- (a† and a) are the qubit (resonator) raising and lowering operators, and h.c. is the Hermitian conjugate of the terms in ... «Nature.com, 5月 09»