Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

On the theory of variational principles in quantum mechanics

Giacomo Fonte

Published Aug 1, 1986• 4 citations
Publisher
DOI
10.1007/bf02759754

Related papers

A variational principle for quantum mechanics

H.H. Rosenbrock

Physics Letters A•Aug 1, 1985•28 citations

New variational principle in quantum mechanics

Mingli Zhou

•Oct 1, 1999•0 citations

Variational Principle in Quantum Mechanics

Nicolaas Marinus Hugenholtz

Physical Review•Nov 15, 1954•2 citations

Variational Principle in Quantum Mechanics

Lech S. Papiez

NATO ASI series. Series B : Physics•Jan 1, 1986•2 citations

On the Theory of Variational Principles in Quantum Mechanics (

G. Forte

S u m m a r y . A rigorous theory of variational principles in quantum mechanics is formulated. This result is obtained by generalizing the standard theory of the inverse problem of the variational cahmlus, according to new concepts of differentiability on complex Banach spaces. Our theory provides sound mathematical foundations to all known variational principles of quantum mechanics and a powerful tool to find new ones. As a simple application, we derive rigorously two variational principles for the time-dependent SchrSdinger equation: the conventional one, requiring both an initial and a final condition, and a new one, requiring an initial condition only.

•Jan 1, 2007•0 citations

ON THE VARIATIONAL PRINCIPLES OF QUANTUM MECHANICS

Guy Rideau

Compt. rend.•Dec 21, 1953•0 citations
S u m m a r y . A rigorous theory of variational principles in quantum mechanics is formulated. This result is obtained by generalizing the standard theory of the inverse problem of the variational cahmlus, according to new concepts of differentiability on complex Banach spaces. Our theory provides sound mathematical foundations to all known variational principles of quantum mechanics and a powerful tool to find new ones. As a simple application, we derive rigorously two variational principles for the time-dependent SchrSdinger equation: the conventional one, requiring both an initial and a final condition, and a new one, requiring an initial condition only.