*This book discusses the mathematical foundations of quantum theories.*

**Author**: Valter Moretti

**Publisher:** Springer

**ISBN:** 9783319707068

**Category:** Mathematics

**Page:** 950

**View:** 786

*This book discusses the mathematical foundations of quantum theories.*

**Author**: Valter Moretti

**Publisher:** Springer

**ISBN:** 9783319707068

**Category:** Mathematics

**Page:** 950

**View:** 786

*The spectral theory of linear operators in Hilbert spaces is the most important tool
in the mathematical formulation of quantum mechanics; in fact, linear operators
and quantum mechanics have had a symbiotic relationship. However, typical ...*

**Author**: César R. de Oliveira

**Publisher:** Springer Science & Business Media

**ISBN:** 3764387955

**Category:** Science

**Page:** 410

**View:** 608

*Conference in Honor of James Ralston's 70th Birthday on Spectral Theory and
Partial Differential Equations: June 17--21, 2013, ... MR2786226 (2012h:81287)
V. Georgescu and C. Gérard, On the virial theorem in quantum mechanics,
Comm.*

**Author**: James V Ralston

**Publisher:** American Mathematical Soc.

**ISBN:** 9781470409890

**Category:** Differential equations, Partial

**Page:** 197

**View:** 202

*It is quite fitting that modern functional analysis , which has a strong root in the
spectral theory of time - independent quantum mechanics , now provides a
natural setting for the time - dependent problem . The main purpose of this work
is to ...*

**Author**: Joyce Mary Okuniewicz

**Publisher:**

**ISBN:** MINN:31951D018520451

**Category:**

**Page:** 268

**View:** 508

*Such an inference is an example of the great potential which lies in numerical
spectral analysis to obtain insight into the ... References [1] Amrein, W. O., Jauch,
J. M., Sinha, K. B., Scattering Theory in Quantum Mechanics, Benjamin, Reading
...*

**Author**: Rafael del Río

**Publisher:** American Mathematical Soc.

**ISBN:** 9780821832974

**Category:** Mathematics

**Page:** 249

**View:** 229

*The necessary foundation in quantum mechanics is covered in this book.*

**Author**: Werner O. Amrein

**Publisher:** EPFL Press

**ISBN:** 1420066811

**Category:** Science

**Page:** 395

**View:** 803

*In much of what follows there is a close analogy with the familiar framework of
complex quantum mechanics, but there are a number of characteristic ... Second,
although the spectral theory for quaternion self-adjoint operators (see Sec.*

**Author**: Stephen L. Adler

**Publisher:** Oxford University Press

**ISBN:** 0195345061

**Category:** Science

**Page:** 608

**View:** 429

*The development of spectral theory is strongly related to quantum mechanics, *

and the main operators that immediately appear in the theory are the operators of

multiplication by x (in, say, L2 (11%)), the operator of differentiation d /dx, and the

...

**Author**: Bernard Helffer

**Publisher:** Cambridge University Press

**ISBN:** 9781107032309

**Category:** Mathematics

**Page:** 255

**View:** 528

*Mathematical results in quantum mechanics (Blossin, 1993). Operator Theory *

Adv. Appl., vol. 70, Birkhauser, Basel, 1994, pp. 3-7. [1 19] Birman, M. Sh., Weidl,

T. The discrete spectrum in a gap of the continuous one for compact supported ...

**Author**: M. Sh Birman

**Publisher:** American Mathematical Soc.

**ISBN:** 0821813870

**Category:** Mathematics

**Page:** 285

**View:** 822

*Topics in Spectral Theory and Quantum Mechanics, May 2005, Universidad
Nacional Autónoma de México, Cuernavaca, Mexico ... Quantum mechanics
started at the beginning of the last century as a revolutionary theory to explain
certain ...*

**Author**: Carlos Villegas-Blas

**Publisher:** American Mathematical Soc.

**ISBN:** 9780821840641

**Category:** Mathematics

**Page:** 148

**View:** 774

*It is devoted to the study of certain structural properties of self - adjoint operators
that are very useful in quantum mechanics ( cf . Section 3 - 2 ) . The basic
theorem is the socalled spectral theorem which in an appropriate sense
generalizes the ...*

**Author**: Werner O. Amrein

**Publisher:** Addison Wesley Longman

**ISBN:** UCAL:B4513680

**Category:** Quantum theory

**Page:** 691

**View:** 183

**SPECTRAL THEORY** IN **QUANTUM** LOGICS ABSTRACT. If one supposes a

**quantum** logic L to be a <j-orthocomplete, orthomodular partially ordered set

admitting a set of a-orthoadditive functions (called states) from L to the unit

intervals [0, ...

**Author**: C.A. Hooker

**Publisher:** Springer Science & Business Media

**ISBN:** 9027707073

**Category:** Philosophy

**Page:** 466

**View:** 717

*The fundamental result of the spectral theory of periodic operators is the
assertion that the spectrum of the original operator ... Serious interest in
multidimensional periodic operators arose under the influence of quantum
mechanics after it was ...*

**Author**: M. M. Skriganov

**Publisher:** American Mathematical Soc.

**ISBN:** 0821831046

**Category:** Mathematics

**Page:** 121

**View:** 145

*In the early development of quantum mechanics in two different forms, as 'matrix
mechanics' by Heisenberg and as 'wave ... 21.10 the centre piece of von
Neumann's Hilbert space formalism for quantum mechanics, the spectral theorem
for ...*

**Author**: Peter Bongaarts

**Publisher:** Springer

**ISBN:** 9783319095615

**Category:** Science

**Page:** 445

**View:** 734

*By the spectral theorem (see problem 1.15) (ψ,Aψ) = ∫ λd(ψ,E(λ)ψ) (3.4) As in
classical probability theory, (ψ,Aψ) is interpreted as the average value of
repeated measurements. It is called the expectation value of the observable A. If
we have ...*

**Author**: Jonathan Dimock

**Publisher:** Cambridge University Press

**ISBN:** 9781139497480

**Category:** Science

**Page:**

**View:** 909

*3.9 Some Brief Remarks on Axioms In the reference [ 84 ] , J. von Neumann
presents a rigorous mathematical foundation of quantum mechanics based on
the spectral theory of Hermitian ( = selfadjoint ) operators on a separable Hilbert
space .*

**Author**: Floyd Williams

**Publisher:** Springer Science & Business Media

**ISBN:** 0817643117

**Category:** Mathematics

**Page:** 398

**View:** 217

*Ensembles and Single Systems: A Two-Tier Approach to Quantum Mechanics
E.J. Post ... In histreatise on the mathematical foundationsof quantum mechanics,
Johann von Neumann 3 established thatthe spectral theory ofHilbert spaces ...*

**Author**: E.J. Post

**Publisher:** Springer Science & Business Media

**ISBN:** 9789401584104

**Category:** Philosophy

**Page:** 322

**View:** 833

*Quantitative analysis of metastability in reversible diffusion processes via a
Witten complex approach. Proceedings of the Symposium on Scattering and
*

**Author**: Joachim Asch

**Publisher:** Springer

**ISBN:** 9783540342731

**Category:** Science

**Page:** 462

**View:** 357

*General Theory and Applications to Schrödinger and Dirac Equations with
Singular Potentials D.M. Gitman, I.V. Tyutin, B.L. Voronov ... The second part is
solving the spectral problem, i.e., a spectral analysis of the obtained observable.*

**Author**: D.M. Gitman

**Publisher:** Springer Science & Business Media

**ISBN:** 9780817646622

**Category:** Science

**Page:** 511

**View:** 749

*... branches of mathematical analysis which include the spectral theory of both
ordinary and partial differential equations, ... a significant portion having been
concerned with problems arising in the study of non-relativistic quantum
mechanics.*

**Author**: B. Malcolm Brown

**Publisher:** Springer Science & Business Media

**ISBN:** 9783034802635

**Category:** Mathematics

**Page:** 264

**View:** 648